Analysis Commons^™

Banach Algebras And Rational Homotopy Theory, Gregory Lupton, N. Christopher Phillips, Claude Schochet, Samuel B. Smith

Mathematics Faculty Research Publications

Let A be a unital commutative Banach algebra with maximal ideal space Max(A). We determine the rational H-type of GL_n(A), the group of invertible n x n matrices with coefficients in A, in terms of the rational cohomology of Max(A). We also address an old problem of J. L. Taylor. Let Lc_n(A) denote the space of "last columns" of GL_n(A). We construct a natural isomorphism

Ȟ^s(Max(A);ℚ) ≅ π_2n-1-s(Lc_n(A)) ⊗ ℚ …

The Norm And Modulus Of A Foguel Operator, Stephan Ramon Garcia

Pomona Faculty Publications and Research

We develop a method for calculating the norm and the spectrum of the modulus of a Foguel operator. In many cases, the norm can be computed exactly. In others, sharp upper bounds are obtained. In particular, we observe several connections between Foguel operators and the Golden Ratio.

Complex Symmetric Partial Isometries, Stephan Ramon Garcia, Warren R. Wogen

Pomona Faculty Publications and Research

An operator $T \in B(\h)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:\h\to\h$ so that $T = CT^*C$. We provide a concrete description of all complex symmetric partial isometries. In particular, we prove that any partial isometry on a Hilbert space of dimension $\leq 4$ is complex symmetric.

Truncated Toeplitz Operators: Spatial Isomorphism, Unitary Equivalence, And Similarity, Joseph A. Cima, Stephan Ramon Garcia, William T. Ross, Warren R. Wogen

Pomona Faculty Publications and Research

A truncated Toeplitz operator A φ : K Θ → K Θ is the compression of a Toeplitz operator T φ : H 2 → H 2 to a model space K Θ ≔ H 2 ⊖ Θ H 2 . For Θ inner, let T Θ denote the set of all bounded truncated Toeplitz operators on K Θ . Our main result is a necessary and sufficient condition on inner functions Θ 1 and Θ 2 which guarantees that T Θ 1 and T Θ 2 are spatially isomorphic (i.e., U T Θ 1 = T Θ 2 U …

Polynomial Extension Operators. Part Ii, Leszek Demkowicz, Jay Gopalakrishnan, Joachim Schöberl

Mathematics and Statistics Faculty Publications and Presentations

Consider the tangential trace of a vector polynomial on the surface of a tetrahedron. We construct an extension operator that extends such a trace function into a polynomial on the tetrahedron. This operator can be continuously extended to the trace space of H(curl ). Furthermore, it satisfies a commutativity property with an extension operator we constructed in Part I of this series. Such extensions are a fundamental ingredient of high order finite element analysis.

Superbimatrices And Their Generalizations, Florentin Smarandache, W.B Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The systematic study of supermatrices and super linear algebra has been carried out in 2008. These new algebraic structures find their applications in fuzzy models, Leontief economic models and data-storage in computers. In this book the authors introduce the new notion of superbimatrices and generalize it to super trimatrices and super n-matrices. Study of these structures is not only interesting and innovative but is also best suited for the computerized world. The main difference between simple bimatrices and super bimatrices is that in case of simple bimatrices we have only one type of product defined on them, whereas in case …

Groups As Graphs, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Through this book, for the first time we represent every finite group in the form of a graph. The authors choose to call these graphs as identity graph, since the main role in obtaining the graph is played by the identity element of the group. This study is innovative because through this description one can immediately look at the graph and say the number of elements in the group G which are self-inversed. Also study of different properties like the subgroups of a group, normal subgroups of a group, p-sylow subgroups of a group and conjugate elements of a group …

Sublimital Analysis, Thomas Q. Sibley

Mathematics Faculty Publications

The Bolzano-Weierstrass theorem asserts, under appropriate circumstances, the convergence of some subsequence of a sequence. While this famous theorem ignores the actual limit of the subsequence, it is natural to investigate such limits. This note characterizes the set of possible limits of subsequences of a given sequence.

Preface

Communications on Stochastic Analysis

No abstract provided.

Applicability Of Multiplicative Renormalization Method For A Certain Function, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli

Communications on Stochastic Analysis

No abstract provided.

General Equilibrium Asset Pricing Under Regime Switching, Robert J Elliott, Hong Miao, Jin Yu

Communications on Stochastic Analysis

No abstract provided.

A Class Of Extreme X-Harmonic Functions, John Verzani

Communications on Stochastic Analysis

No abstract provided.

Interacting Fock Space Versus Full Fock Module, Luigi Accardi, Michael Skeide

Communications on Stochastic Analysis

No abstract provided.

Distribution And Propagation Properties Of Superprocesses With General Branching Mechanisms, Zenghu Li, Xiaowen Zhou

Communications on Stochastic Analysis

No abstract provided.

Locally Integrable Processes With Respect To Locally Additive Summable Processes, Oana Mocioalca

Communications on Stochastic Analysis

No abstract provided.

A Decomposition Of Multiple Wiener Integrals By The Lévy Process And Lévy Laplacian, Atsushi Ishikawa

Communications on Stochastic Analysis

No abstract provided.

Limits Of Bifractional Brownian Noises, Makoto Maejima, Ciprian A Tudor

Communications on Stochastic Analysis

No abstract provided.

Errata: Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System (Cosa, Vol. 1, No. 3 (2007) 473–483) [Mr2403863], P Sundar, Hong Yin

Communications on Stochastic Analysis

No abstract provided.

An Extension Of The Itô Integral, Wided Ayed, Hui-Hsiung Kuo

Communications on Stochastic Analysis

No abstract provided.

Optimal Hedging Of Path-Dependent Options In Discrete Time Incomplete Market, Norman Josephy, Lucy Kimball, Victoria Steblovskaya

Communications on Stochastic Analysis

No abstract provided.

The Development Research On Chinese Third-Party Cold Chain Logistics, Tianqing Wang

World Maritime University Dissertations

No abstract provided.

Research On Bohai Bay Coal Ports In Coal Transportation From North To South China, Huan Xia

World Maritime University Dissertations

No abstract provided.

Research On Construction Of Agri-Products Logistics System In Wenzhou, Yiqi Ye

World Maritime University Dissertations

No abstract provided.

Research On Development Of Yangshan Bonded Logistics Park, Qing Fan

World Maritime University Dissertations

No abstract provided.

Backward Stochastic Differential Equations Associated With Lévy Processes And Partial Integro-Differential Equations, Mohamed El Otmani

Communications on Stochastic Analysis

No abstract provided.

Generic Fock Quantum Markov Semigroups With Instantaneous States, A Ben Ghorbal, F Fagnola, S Hachicha, H Ouerdiane

Communications on Stochastic Analysis

No abstract provided.

Properties Of Certain Lévy And Geometric Lévy Processes, Vladimir Vinogradov

Communications on Stochastic Analysis

No abstract provided.

Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise, Benedetta Ferrario

Communications on Stochastic Analysis

No abstract provided.

Singular Perturbation And Stationary Solutions Of Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.

Zeon Algebra, Fock Space, And Markov Chains, Philip Feinsilver

Communications on Stochastic Analysis

No abstract provided.