Homogeneous Banach Algebras

Author: Hwai-Chiuan Wang

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 216

View: 168

This book examines some aspects of homogeneous Banach algebras and related topics to illustrate various methods used in several classes of group algebras. It guides the reader toward some of the problems in harmonic analysis such as the problems of factorizations and closed subalgebras.

Smooth Homogeneous Structures in Operator Theory

Author: Daniel Beltita

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 320

View: 270

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. Requiring only a moderate familiarity with funct

Homogeneous Banach Algebras

Author: Hwai-Chiuan Wang

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 216

View: 495

This book examines some aspects of homogeneous Banach algebras and related topics to illustrate various methods used in several classes of group algebras. It guides the reader toward some of the problems in harmonic analysis such as the problems of factorizations and closed subalgebras.

System of Differential Equations Over Banach Algebra

Author: Aleks Kleyn

Publisher:

ISBN:

Category:

Page: 116

View: 326

In the book, I considered homogeneous system of linear differential equations.In order to study homogeneous system of linear differential equations, I considered vector space over division D-algebra, solving of linear equations over division D-algebra and the theory of eigenvalues in non commutative division D-algebra.I considered example of homogeneous system of linear differential equationsin quaternion algebra, for which initial value problem has infinitely many solutions.

Banach Spaces

Proceedings of an International Workshop on Banach Space Theory, January 6-17, 1992

Author: Bor-Luh Lin

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 201

View: 971

This volume contains the proceedings of the International Workshop on Banach Space Theory, held at the Universidad de Los Andes in Merida, Venezuela in January 1992. These refereed papers contain the newest results in Banach space theory, real or complex function spaces, and nonlinear functional analysis. There are several excellent survey papers, including ones on homogeneous Banach spaces and applications of probability inequalities, in addition to an important research paper on the distortion problem. This volume is notable for the breadth of the mathematics presented.

Introduction to Fourier Series

Author: Rupert Lasser

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 300

View: 298

This work addresses all of the major topics in Fourier series, emphasizing the concept of approximate identities and presenting applications, particularly in time series analysis. It stresses throughout the idea of homogenous Banach spaces and provides recent results. Techniques from functional analysis and measure theory are utilized.;College and university bookstores may order five or more copies at a special student price, available on request from Marcel Dekker, Inc.

Differential Equation Over Banach Algebra (Russian Edition)

Author: Aleks Kleyn

Publisher: Createspace Independent Publishing Platform

ISBN:

Category:

Page: 72

View: 445

In the book, I considered differential equations of order 1 over Banach D-algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation. In noncommutative Banach algebra, initial value problem for linear homogeneous equation has infinitely many solutions.

Introduction Into Differential Equations

Banach Algebra

Author: Aleks Kleyn

Publisher:

ISBN:

Category:

Page: 354

View: 184

In the book, I considered differential equations of order $1$ over Banach D-algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation. I considered examples of differential equations in quaternion algebra. In order to study homogeneous system of linear differential equations, I considered vector space over division D-algebra, solving of linear equations over division D-algebra and the theory of eigenvalues in non commutative division D-algebra.

Banach Algebras and the General Theory of *-algebras

Author: Theodore W. Palmer

Publisher: Cambridge University Press

ISBN:

Category: Banach algebras

Page: 1616

View: 823

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasises the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. This first volume is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class complex algebras rather than topological algebras. In both volumes proofs are presented in complete detail at a level accessible to graduate students. In addition, the books contain a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Together these books will become the standard reference for the general theory of *-algebras.

Ordered Structures and Applications

Positivity VII (Zaanen Centennial Conference), 22-26 July 2013, Leiden, the Netherlands

Author: Marcel de Jeu

Publisher: Birkhäuser

ISBN:

Category: Mathematics

Page: 507

View: 445

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.