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On Linear The Homeomorphism Between Function Spaces C_P(X) And C_{P,A}(X) \Times C_P (A), Sabri̇ Bi̇rli̇k
On Linear The Homeomorphism Between Function Spaces C_P(X) And C_{P,A}(X) \Times C_P (A), Sabri̇ Bi̇rli̇k
Turkish Journal of Mathematics
In this paper, we investigate a linear homeomorphism between function spaces C_p(X) and C_{p,A}(X) \times C_p(A) , where X is a normal space and A is a neighborhood retraction of X.
On Space Of Parabolic Potentials Associated With The Singular Heat Operator, Si̇nem Sezer, İlham A. Ali̇ev
On Space Of Parabolic Potentials Associated With The Singular Heat Operator, Si̇nem Sezer, İlham A. Ali̇ev
Turkish Journal of Mathematics
Anisotropic spaces L_{p,\gamma}^{\alpha} of parabolic Bessel potentials, associated with the singular heat operator I-\Delta_{\gamma}+ \frac{\partial}{\partial t}, where \Delta_{\gamma} = \sum\limits_{k=1}^n \frac{\partial ^{2}}{\partial x_{k}^{2}} + \frac{2\gamma }{x_n}. \frac{\partial}{\partial x_n}, are introduced, and making use of special wavelet-type transform, a characterization of these spaces is obtained.
A Property Of Weak Convergence Of Positive Contractions Of Von Neumann Algebras, Farrukh Mukhamedov, Seyi̇t Temi̇r
A Property Of Weak Convergence Of Positive Contractions Of Von Neumann Algebras, Farrukh Mukhamedov, Seyi̇t Temi̇r
Turkish Journal of Mathematics
In the present paper we prove that the mixing property of positive L^1-contraction of finite von Neumann algebras implies the property of complete mixing.
On Banach Lattice Algebras, Ayşe Uyar
On Banach Lattice Algebras, Ayşe Uyar
Turkish Journal of Mathematics
In this study, without using the assumption a^{-1} > 0, it is shown that E is lattice - and algebra - isometric isomorphic to the reals R whenever E is a Banach lattice f-algebra with unit e, e = 1, in which for every a > 0 the inverse a^{-1} exists. Subsequently, an alternative proof to a result of Huijsmans is given for Banach lattice algebras.
On Rough Singular Integrals Along Surfaces On Product Domains, Ahmad Al-Salman, Ali A. Al-Jarrah
On Rough Singular Integrals Along Surfaces On Product Domains, Ahmad Al-Salman, Ali A. Al-Jarrah
Turkish Journal of Mathematics
In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)^2(S^{n-1} \times S^{m-1}). We formulate a general theorem concerning the L^p boundedness of these operators. As a consequence of this theorem we establish L^p estimates of several classes of operators whose L^p boundedness in the one parameter setting is known. The condition L(log L)^2(B^{n-1} \times S^{m-1}) is known to be an optimal size condition
A Quasi-Linear Manifolds And Quasi-Linear Mapping Between Them, Aki̇f Abbasov
A Quasi-Linear Manifolds And Quasi-Linear Mapping Between Them, Aki̇f Abbasov
Turkish Journal of Mathematics
In this article a special class of Banach manifolds (called QL-manifolds) and mapping between them (QL-mappings) are introduced and some examples are given.
On Graded Primary Ideals, Mashhoor Refai, Khaldoun Al-Zoubi
On Graded Primary Ideals, Mashhoor Refai, Khaldoun Al-Zoubi
Turkish Journal of Mathematics
Let G be a group and R be a G-graded commutative ring, i.e., R = \oplus_{g \in G} R_g and R_gR_h \subseteq R_{gh} for all g, h \in G. In this paper, we study the graded primary ideals and graded primary G-decomposition of a graded ideal.
Determination Of A Fractional-Linear Pencil Of Sturm-Liouville Operators By Two Of Its Spectra, R. T. Pashayev
Determination Of A Fractional-Linear Pencil Of Sturm-Liouville Operators By Two Of Its Spectra, R. T. Pashayev
Turkish Journal of Mathematics
In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.
Perelman's Monotonicity Formula And Applications, Natasa Sesum
Perelman's Monotonicity Formula And Applications, Natasa Sesum
Turkish Journal of Mathematics
This article relies on [15] that the author wrote with Gang Tian and Xiaodong Wang. In view of Hamilton's important work on the Ricci flow and Perelman's paper on the Ricci flow where he developes the techniques that he will later use in completing Hamilton's program for the geometrization conjecture, there may be more interest in the area. We will also discuss the author's theorem which says that the curvature tensor stays uniformly bounded under the unnormalized Ricci flow in a finite time, if the curvatures are uniformly bounded. We will prove that in the case of a Kähler-Ricci flow …
Flops Of Crepant Resolutions, Anda Degeratu
Flops Of Crepant Resolutions, Anda Degeratu
Turkish Journal of Mathematics
Let G be a finite subgroup of SL(3, \mathcal{C}) acting with an isolated singularity on \mathcal{C}^3. A crepant resolution of \mathcal{C}^3/G comes together with a set of tautological line bundles associated to each irreducible representation of G. In this note we give a formula for the triple product of the first Chern class of the tautological bundles in terms of both the geometry of the crepant resolution and the representation theory of G. From here we derive the way these triple products change when we perform a flop.
The Cross Curvature Flow Of 3-Manifolds With Negative Sectional Curvature, Bennett Chow, Richard S. Hamilton
The Cross Curvature Flow Of 3-Manifolds With Negative Sectional Curvature, Bennett Chow, Richard S. Hamilton
Turkish Journal of Mathematics
We consider the cross curvature flow, an evolution equation of metrics on 3-manifolds. We establish short time existence when the sectional curvature has a sign. In the case of negative sectional curvature, we obtain some monotonicity formulas which support the conjecture that after normalization, for initial metrics on closed 3-manifolds with negative sectional curvature, the solution exists for all time and converges to a hyperbolic metric. This conjecture is still open at the present time.
Surgery Diagrams For Contact 3-Manifolds, Fan Ding, Hansjörg Geiges, Andras I. Stipsicz
Surgery Diagrams For Contact 3-Manifolds, Fan Ding, Hansjörg Geiges, Andras I. Stipsicz
Turkish Journal of Mathematics
In two previous papers, the two first-named authors introduced a notion of contact r-surgery along Legendrian knots in contact 3-manifolds. They also showed how (at least in principle) to convert any contact r-surgery into a sequence of contact (\pm 1)-surgeries, and used this to prove that any (closed) contact 3-manifold can be obtained from the standard contact structure on S^3 by a sequence of such contact (\pm 1)-surgeries. In the present paper, we give a shorter proof of that result and a more explicit algorithm for turning a contact r-surgery into (\pm 1)-surgeries. We use this to give explicit surgery …
Quasipositivity Problem For 3-Braids, Stepan Yu. Orevkov
Quasipositivity Problem For 3-Braids, Stepan Yu. Orevkov
Turkish Journal of Mathematics
A braid is called quasipositive if it is a product of conjugates of standard generators of the braid group. We present an algorithm deciding if a given braid with three strings is quasipositive or not. The complexity (the time of work) of our algorithm is O(n^{k+1}) where n is the length of the word in standard generators representing the braid and k is the algebraic length of the braid. The algorithm is based on the Garside normal form. The problem of quasipositivity in braid groups is motivated by the topology of plane real algebraic curves (16th Hilbert's problem). In particular, …
Solution Of The Word Problem In The Singular Braid Group, Stepan Yu. Orevkov
Solution Of The Word Problem In The Singular Braid Group, Stepan Yu. Orevkov
Turkish Journal of Mathematics
Singular braids are isotopy classes of smooth strings which are allowed to cross each other pairwise with distinct tangents. Under the usual multiplication of braids, they form a monoid. The singular braid group was introduced by Fenn-Keyman-Rourke as the quotient group of the singular braid monoid. We give a solution of the word problem for this group. It is obtained as a combination of the results by Fenn-Keyman-Rourke and some simple geometric considerations based on the mapping class interpretation of braids. Combined with Corran's normal form for the singular braid monoid, our algorithm provides a computable normal form for the …
Fuzzy \Beta-Compactness And Fuzzy \Beta-Closed Spaces, I. M. Hanafy
Fuzzy \Beta-Compactness And Fuzzy \Beta-Closed Spaces, I. M. Hanafy
Turkish Journal of Mathematics
The concepts of \beta-compactness and \beta-closed spaces in the fuzzy setting are defined and investigated. Fuzzy filterbases are used to characterize these concepts. A comparison between these types and some different forms of compactness in fuzzy topology is established.
The Trace Formula For A Differential Operator Of Fourth Order With Bounded Operator Coefficients And Two Terms, Erdal Gül
Turkish Journal of Mathematics
L Yıldız Teknik Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü Davutpaşa Kampüsü İstanbul-TURKEY e-mail: [email protected] We investigate the spectrum of a differential operator of fourth order with bounded operator coefficients and find a formula for the trace of this operator.
Splitting Of Sharply 2-Transitive Groups Of Characteristic 3, Seyfi̇ Türkelli̇
Splitting Of Sharply 2-Transitive Groups Of Characteristic 3, Seyfi̇ Türkelli̇
Turkish Journal of Mathematics
We give a group theoretic proof of the splitting of sharply 2-transitive groups of characteristic 3.
A New Characteristic Of Möbius Transformations By Use Of Apollonius Points Of Pentagons, Serap Bulut, Ni̇hal Yilmaz Özgür
A New Characteristic Of Möbius Transformations By Use Of Apollonius Points Of Pentagons, Serap Bulut, Ni̇hal Yilmaz Özgür
Turkish Journal of Mathematics
In this paper, we give a new characterization of Möbius transformations. To this end, a new concept of ''Apollonius points of pentagons'' is used.
Rate Of Convergence Of Durrmeyer Type Baskakov-Bezier Operators For Locally Bounded Functions, Vijay Gupta
Rate Of Convergence Of Durrmeyer Type Baskakov-Bezier Operators For Locally Bounded Functions, Vijay Gupta
Turkish Journal of Mathematics
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators B_{n,\alpha} (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of convergence of B_{n,\alpha} (f,x) for functions of bounded variation in terms of Chanturiya's modulus of variation. In the end we also propose an open problem for the readers.
An Algorithm To Recognise Small Seifert Fiber Spaces, J. Hyam Rubinstein
An Algorithm To Recognise Small Seifert Fiber Spaces, J. Hyam Rubinstein
Turkish Journal of Mathematics
The homeomorphism problem is, given two compact n-manifolds, is there an algorithm to decide if the manifolds are homeomorphic or not. The homeomorphism problem has been solved for many important classes of 3-manifolds - especially those with embedded 2-sided incompressible surfaces (cf [12], [15], [16]), which are called Haken manifolds. It is also well-known that the homeomorphism problem is easily solvable for two 3-manifolds which admit geometries in the sense of Thurston [36], [31]. Hence the recognition problem, to decide if a 3-manifold has a geometric structure, is a significant problem. The recognition problem has been solved for all geometric …
Radical Submodules And Uniform Dimension Of Modules, Patrick F. Smith
Radical Submodules And Uniform Dimension Of Modules, Patrick F. Smith
Turkish Journal of Mathematics
We investigate the relations between a radical submodule N of a module M being a finite intersection of prime submodules of M and the factor module M/N having finite uniform dimension. It is proved that if N is a radical submodule of a module M over a ring R such that M/N has finite uniform dimension, then N is a finite intersection of prime submodules. The converse is false in general but is true if the ring R is fully left bounded left Goldie and the module M is finitely generated. It is further proved that, in general, if a …
Conjugacy Classes Of Finite Subgroups Of Certain Mapping Class Groups, Michal Stukow
Conjugacy Classes Of Finite Subgroups Of Certain Mapping Class Groups, Michal Stukow
Turkish Journal of Mathematics
We give a complete description of conjugacy classes of finite subgroups of the mapping class group of the sphere with r marked points. As a corollary we obtain a description of conjugacy classes of maximal finite subgroups of the hyperelliptic mapping class group. In particular, we prove that, for a fixed genus g, there are at most five such classes.
Moments Equalities For Nonnegative Integer-Valued Random Variables, Mohamed I. Riffi
Moments Equalities For Nonnegative Integer-Valued Random Variables, Mohamed I. Riffi
Turkish Journal of Mathematics
We present and prove two theorems about equalities for the nth moment of nonnegative integer-valued random variables. These equalities generalize the well known equality for the first moment of a nonnegative integer-valued random variable X in terms of its cumulative distribution function, or in terms of its tail distribution.
The Theory Of Jacobi Systems And Their Abelian Representations, M. Shahryari, Y. Zamani
The Theory Of Jacobi Systems And Their Abelian Representations, M. Shahryari, Y. Zamani
Turkish Journal of Mathematics
In this article we introduce a new generalization of the concept of Lie ring which we call Jacobi system and we investigate some elementary properties of these systems and their Abelian representations.
On \Theta-Euclidean L-Fuzzy Ideals Of Rings, Ayten Koç, Erol Balkanay
On \Theta-Euclidean L-Fuzzy Ideals Of Rings, Ayten Koç, Erol Balkanay
Turkish Journal of Mathematics
In this paper we define a \theta-Euclidean level subset and a \theta-Euclidean level ideal. We also give some properties of a \theta-Euclidean level subset.
On The Power Subgroups Of The Extended Modular Group \Gamma, Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
On The Power Subgroups Of The Extended Modular Group \Gamma, Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
Turkish Journal of Mathematics
In this paper we describe the group structure of power subgroups \Gamma^m of the extended modular group \Gamma and the quotients to them. Then we give some relations between the power subgroups \Gamma^m, the commutator subgroups \Gamma^{\prime} and \Gamma^{\prime \prime} and also the information of interest about free normal subgroups of the extended modular group \Gamma.