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Articles 2101 - 2130 of 2595
Full-Text Articles in Mathematics
Sufficient Conditions For The Lp-Equivalence Between Two Nonlinear Impulse Differential Equations, A. Georgieva, S. Kostadinov
Sufficient Conditions For The Lp-Equivalence Between Two Nonlinear Impulse Differential Equations, A. Georgieva, S. Kostadinov
Turkish Journal of Mathematics
Sufficient conditions for the Lp-equivalence between two nonlinear impulse differential equations with unbounded linear parts and possibly unbounded nonlinearity parts are given. An example of two nonlinear impulse differential parabolic equations is considered.
On Pseudo-Inverses Of Fredholm Operators, Christoph Schmoeger
On Pseudo-Inverses Of Fredholm Operators, Christoph Schmoeger
Turkish Journal of Mathematics
Suppose that A is a Fredholm operator on a Banach space. We prove that A has index =0 (resp. >= 0, resp. Keywords: Fredholm operator, pseudo-inverse
Essential Spectra Of Composition Operators On The Space Of Bounded Analytic Functions, Uğur Gül
Essential Spectra Of Composition Operators On The Space Of Bounded Analytic Functions, Uğur Gül
Turkish Journal of Mathematics
In this small note we characterize the essential spectra of a class of composition operators on H^{\infty}(H) of the upper half-plane H and on H^{\infty}(D) of the unit disc D. These composition operators are induced by perturbations of translations
Radical Anti-Invariant Lightlike Submanifolds Of Semi-Riemannian Product Manifolds, Erol Kiliç, Bayram Şahi̇n
Radical Anti-Invariant Lightlike Submanifolds Of Semi-Riemannian Product Manifolds, Erol Kiliç, Bayram Şahi̇n
Turkish Journal of Mathematics
We introduce radical anti-invariant lightlike submanifolds of a semi Riemannian product manifold and give examples. After we obtain the conditions of integrability of distributions which are involved in the definition of radical anti-invariant lightlike submanifolds, we investigate the geometry of leaves of distributions. We also obtain the induced connection is a metric connection and a radical anti-invariant lightlike submanifold is a product manifold under certain conditions. Finally, we study totally umbilical radical anti-invariant lightlike submanifolds and observe that they are totally geodesic under a condition.
Best P-Simultaneous Approximation In Some Metric Space, Mona Khandaqji, Wasfi Shatanawi
Best P-Simultaneous Approximation In Some Metric Space, Mona Khandaqji, Wasfi Shatanawi
Turkish Journal of Mathematics
Let X be a Banach space, (I,\mu) be a finite measure space, and \Phi be an increasing subadditive continuous function on [0,+\infty) with \Phi(0)=0. In the present paper, we discuss the best p-simultaneous approximation of L^\Phi(I,G) in L^\Phi(I,X) where G is a closed subspace of X.
Some Characterizations Of Rectifying Curves In The Euclidean Space E^4, Kazim İlarslan, Emilija Nesovic
Some Characterizations Of Rectifying Curves In The Euclidean Space E^4, Kazim İlarslan, Emilija Nesovic
Turkish Journal of Mathematics
In this paper, we define a rectifying curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement N^{\perp} of its principal normal vector field N. In particular, we study the rectifying curves in E^4 and characterize such curves in terms of their curvature functions.
Nonexistence Of Stable Exponentially Harmonic Maps From Or Into Compact Convex Hypersurfaces In R^{M+1}, Jiancheng Liu
Nonexistence Of Stable Exponentially Harmonic Maps From Or Into Compact Convex Hypersurfaces In R^{M+1}, Jiancheng Liu
Turkish Journal of Mathematics
In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface M^m \subset R^{m+1}, and show that every nonconstant exponentially harmonic map f, between M^m and any compact Riemannian manifold, is unstable if (4) holds.
Primary Finitely Compactly Packed Modules And S-Avoidance Theorem For Modules, Arwa Eid Ashour
Primary Finitely Compactly Packed Modules And S-Avoidance Theorem For Modules, Arwa Eid Ashour
Turkish Journal of Mathematics
In this paper we introduce the concept of primary finitely compactly packed modules, which generalizes the concept of primary compactly packed modules. We first find the conditions that make the primary finitely compactly packed modules primary compactly packed. Also, several results on the primary finitely compactly packed modules are proved. In addition, the necessary and sufficient conditions for an R-module M to be primary finitely compactly packed are investigated. Finally, we introduce the S-Avoidance Theorem for modules.
Ergodicity Conditions In A Simple Best Effort Queueing Networks, Abdeldjebbar Kandouci, Abdelmadjid Ezzine, Toufik Guendouzi
Ergodicity Conditions In A Simple Best Effort Queueing Networks, Abdeldjebbar Kandouci, Abdelmadjid Ezzine, Toufik Guendouzi
Turkish Journal of Mathematics
No abstract provided.
Semi-Slant Submanifolds Of A Nearly Kaehler Manifold, Viqar Azam Khan, Meraj Ali Khan
Semi-Slant Submanifolds Of A Nearly Kaehler Manifold, Viqar Azam Khan, Meraj Ali Khan
Turkish Journal of Mathematics
The aim in the present paper is to study some basic geometric properties of semi-slant submanifolds of a nearly Kaehler manifold.
On Cartan Spaces With (\Alpha, \Beta)-Metric, H. G. Nagaraja
On Cartan Spaces With (\Alpha, \Beta)-Metric, H. G. Nagaraja
Turkish Journal of Mathematics
É. Cartan [2] has originally introduced a Cartan space, which is considered as dual of Finsler space. H. Rund [10], F. Brickell [1] and others studied the relation between these two spaces. The theory of Hamilton spaces was introduced and studied by R. Miron ([8 , [9]). He proved that Cartan space is a particular case of Hamilton space. T. Igrashi ([5], [6]) introduced the notion of the (\alpha, \beta)-metric in Cartan spaces and obtained the metric tensor and the invariants \rho and r which characterize the special classes of Cartan spaces with (\alpha, \beta)-metric. This paper presents a study …
The Compact Metric Space Of The Lattice Of Varieties And ^{*}-Varieties Of C^{*}-Algebras, G. Khalilzadeh, Mohammad Hasan Faroughi
The Compact Metric Space Of The Lattice Of Varieties And ^{*}-Varieties Of C^{*}-Algebras, G. Khalilzadeh, Mohammad Hasan Faroughi
Turkish Journal of Mathematics
Variety of Banach algebras is a non-empty class of Banach algebras in which there exist a family of laws such that all of its members satisfy all of the laws. In this paper, we have used merely mathematical items such as Banach algebras and varieties including Banach algebras in order to change the space of all varieties of Banach algebras into a compact metric space. We prove some theorems in the metric space of zero at infinity varieties, define the ^*-varieties of ^{*}-algebra and prove many theorems about ^*-varieties of C^*-algebras.
Equilibria In A Dipersal Model For Structured Populations, Maref Y. M. Alzoubi
Equilibria In A Dipersal Model For Structured Populations, Maref Y. M. Alzoubi
Turkish Journal of Mathematics
We derive a model for structured population with a two-phase life cycle. Growth and reproduction occur during the first phase. The first phase is followed by a dispersal phase in which individuals are allowed to move throughout a habitat. Also, we prove the existence of a branch of positive equilibria using bifurcation results of Rabinowitz.
On Nuclearity Of Köthe Spaces, Erdal Karapinar, V. Zakharyuta
On Nuclearity Of Köthe Spaces, Erdal Karapinar, V. Zakharyuta
Turkish Journal of Mathematics
In this study we observe that the Köthe space K^{l_p}(A) is nuclear if it is isomorphic to a complemented subspace of K^{l_q}(B) for 1\leq p < q < \infty and p < 2.
Induced Mappings On Boolean Algebras Of Clopen Sets And On Projections Of The C^*-Algebra C(X), Ahmed Al-Rawashdeh, Wasfi Shatanawi
Induced Mappings On Boolean Algebras Of Clopen Sets And On Projections Of The C^*-Algebra C(X), Ahmed Al-Rawashdeh, Wasfi Shatanawi
Turkish Journal of Mathematics
For a compact space X, any group automorphism \varphi of C(X,S^1) induces a mapping \Theta on the Boolean algebra of the clopen subsets of X. We prove that the disjointness of \Theta equivalent to \theta_{\varphi} is an orthoisomorphism on the sets of projections of the C^*-algebra C(X), when \varphi(-1)=-1. Indeed, \Theta is a Boolean isomorphism iff \theta_{\varphi} preserves the product of projections. If X is equipped with a probability measure \mu, on a certain \sigma-algebra of X, we show (under some condition) that \Theta preserves the disjoint of clopen subsets, up to sets of measure zero, or equivalently, the mapping …
Some Remarks On The L^P - L^Q Boundedness Of Uc_{\Varphi}, M. R. Jabbarzadeh
Some Remarks On The L^P - L^Q Boundedness Of Uc_{\Varphi}, M. R. Jabbarzadeh
Turkish Journal of Mathematics
In this paper we will consider the weighted composition operators between two different L^p-spaces and then we characterize the functions u and transformations \varphi that induce weighted composition operator uC_{\varphi} between L^p(X, \Sigma, \mu)-spaces by using some properties of conditional expectation operator, pair (u, \varphi) and the measure space (X, \Sigma, \mu).
Braiding For Categorical And Crossed Lie Algebras And Simplicial Lie Algebras, Erdal Ulualan
Braiding For Categorical And Crossed Lie Algebras And Simplicial Lie Algebras, Erdal Ulualan
Turkish Journal of Mathematics
In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.
On The Unique Continuation Property For The Higher Order Nonlinear Schrödinger Equation With Constant Coefficients, Vanilde Bisognin, Octavio Paulo Vera Villagran
On The Unique Continuation Property For The Higher Order Nonlinear Schrödinger Equation With Constant Coefficients, Vanilde Bisognin, Octavio Paulo Vera Villagran
Turkish Journal of Mathematics
We solve the unique continuation property: If u is a solution of the higher order nonlinear Schrödinger equation with constant coefficients with t_1 < t_2 which is sufficiently smooth and such that supp u( . , t_j) \subset (a, b), -\infty < a < b < \infty, j = 1, 2, then u \equiv 0.
Steepness In Natural Exponential Families, Afif Masmoudi
Steepness In Natural Exponential Families, Afif Masmoudi
Turkish Journal of Mathematics
The present paper studies and develops the notion of steepness in multivariate natural exponential families. Let F = \{P(m,F); m \in M_F\} be a multidimensional natural exponential family parameterized by its domain of the means M_F and let \overline{m} be an element of \partial M_F the means domain boundary. A necessary and sufficient condition for the variance function V_F is established so that the family F be steep at \overline{m} \in \partial M_F. Some characteristic properties of a steep family are given. Also, we investigate the asymptotic behaviour of a steep family F at \overline{m}.
Multipliers And The Relative Completion In L_W^P(G), Cenap Duyar, A. Turan Gürkanli
Multipliers And The Relative Completion In L_W^P(G), Cenap Duyar, A. Turan Gürkanli
Turkish Journal of Mathematics
Quek and Yap defined a relative completion à for a linear subspace A of L^p(G), 1 \leq p < \infty ; and proved that there is an isometric isomorphism, between Hom_{L^1(G)}(L^1(G), A) and Ã, where Hom_{L^1(G)}(L^1(G),A) is the space of the module homomorphisms (or multipliers) from L^1(G) to A. In the present, we defined a relative completion à for a linear subspace A of L_w^p(G) ,where w is a Beurling's weighted function and L_w^p(G) is the weighted L^p(G) space, ([14]). Also, we proved that there is an algeabric isomorphism and homeomorphism, between Hom_{L_w^1(G)} (L_w^1(G),A) and Ã. At the end of this work we gave some applications and examples.
The Construction Of Maximum Independent Set Of Matrices Via Clifford Algebras, Nedi̇m Deği̇rmenci̇, Nüli̇fer Özdemi̇r
The Construction Of Maximum Independent Set Of Matrices Via Clifford Algebras, Nedi̇m Deği̇rmenci̇, Nüli̇fer Özdemi̇r
Turkish Journal of Mathematics
In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the real field R, the complex field C or the skew field H of quaternions. In this work we construct such matrices explicitly by using representations of Clifford algebras. At the end we give some analogues of the celebrated theorem of Radon-Hurwitz.
On The Normalizer Of The Congruence Subgroup H_0^5(I) Of The Hecke Group H^5, Süleyman Uzun
On The Normalizer Of The Congruence Subgroup H_0^5(I) Of The Hecke Group H^5, Süleyman Uzun
Turkish Journal of Mathematics
Let l = 2 cos \frac{\pi}{5} and let H^5 be the Hecke group associated to l. In this paper, the normalizers of the congruence subgroups H_0^5(I) in PSL(2Z[\lambda]) are studied in the case where I = (2)^aI ', (2, I') = 1 and I' is a prime ideal.
An Investigation On A Subclass Of P-Valently Starlike Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, Emel Yavuz Duman
An Investigation On A Subclass Of P-Valently Starlike Functions In The Unit Disc, Yaşar Polatoğlu, Meti̇n Bolcal, Arzu Şen, Emel Yavuz Duman
Turkish Journal of Mathematics
Let A_p denote the class of functions of the form f(z) = z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+ ··· which are regular and p-valent in the open unit disc D = {z : z < 1}. Let M_p(\alpha) be the subclass of A_p consisting of functions f(z) which satisfy Re ( z \frac{f'(z)}{f(z)}) < \alpha, (z \in D) for some real \alpha (\alpha > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class M_p(\alpha).
Estimates For Fourier Transform Of Measures Supported On Singular Hypersurfaces, Isroil A. Ikromov
Estimates For Fourier Transform Of Measures Supported On Singular Hypersurfaces, Isroil A. Ikromov
Turkish Journal of Mathematics
We consider hypersurfaces S \subset \RR^3 with zero Gaussian curvature at every ordinary point with surface measure dS and define the surface measure d\mu = \psi(x)dS(x) for smooth function \psi with compact support. We obtain uniform estimates for the Fourier transform of measures concentrated on such hypersurfaces. We show that due to the damping effect of the surface measure the Fourier transform decays faster than O( \xi ^{-1/h}), where h is the height of the phase function. In particular, Fourier transform of measures supported on the exceptional surfaces decays in the order O( \xi ^{-1/2}) (as \xi \to +\infty).
Uniqueness Of Coprimary Decompositions, M. Maani-Shirazi, P. F. Smith
Uniqueness Of Coprimary Decompositions, M. Maani-Shirazi, P. F. Smith
Turkish Journal of Mathematics
Uniqueness properties of coprimary decompositions of modules over non-commutative rings are presented.
Slant Submanifolds Of Kaehler Product Manifolds, Bayram Şahi̇n, Sadik Keleş
Slant Submanifolds Of Kaehler Product Manifolds, Bayram Şahi̇n, Sadik Keleş
Turkish Journal of Mathematics
In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.
Traces Of Maximal Ideals Of Topological Algebras In Their Subalgebras, Mart Abel, Mati Abel
Traces Of Maximal Ideals Of Topological Algebras In Their Subalgebras, Mart Abel, Mati Abel
Turkish Journal of Mathematics
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) ideal of A such that the trace M \cap B of M is a proper subset of B. In cases, when B is a Gelfand-Mazur subalgebra of A or a subalgebra of the centre Z(A) of A, such classes of topological algebras in which M \cap B (in the subset topology) is a closed maximal regular left (respectively, right or two-sided) ideal of B, …
Quasi-Permutation Representations Of Groups Of Order 64, Houshang Behravesh, Ghodrat Ghaffarzadeh
Quasi-Permutation Representations Of Groups Of Order 64, Houshang Behravesh, Ghodrat Ghaffarzadeh
Turkish Journal of Mathematics
In [1], we gave algorithms to calculate c(G), q(G) and p(G) for a finite group G. In this paper, we will calculate c(G), q(G), p(G) for non-abelian groups G, where G =64.
On Modular Lie Representations Of Finite Groups, R. M. Bryant, Ralph Stöhr
On Modular Lie Representations Of Finite Groups, R. M. Bryant, Ralph Stöhr
Turkish Journal of Mathematics
We give a new and substantially simplified proof of a key technical result in the theory of modular Lie representations of finite groups.
Noetherian Hopf Algebras, Kenneth A. Brown
Noetherian Hopf Algebras, Kenneth A. Brown
Turkish Journal of Mathematics
This short survey article reviews our current state of understanding of the structure of noetherian Hopf algebras. The focus is on homological properties. A number of open problems are listed.