A Short Course on Banach Space Theory
| Author | : N. L. Carothers |
| Publisher | : Cambridge University Press |
| Total Pages | : 199 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0521842832 |
Publisher Description
A Short Course On Banach Space Theory
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A Short Course on Banach Space Theory
| Author | : N. L. Carothers |
| Publisher | : Cambridge University Press |
| Total Pages | : 206 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 9780521603720 |
Publisher Description
An Introduction to Banach Space Theory
| Author | : Robert E. Megginson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 613 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461206030 |
Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.
A Short Course on Spectral Theory
| Author | : William Arveson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 140 |
| Release | : 2001-11-09 |
| Genre | : Mathematics |
| ISBN | : 0387953000 |
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
Banach Spaces for Analysts
| Author | : P. Wojtaszczyk |
| Publisher | : Cambridge University Press |
| Total Pages | : 400 |
| Release | : 1996-08 |
| Genre | : Mathematics |
| ISBN | : 9780521566759 |
This book is intended to be used with graduate courses in Banach space theory.
Banach Space Theory
| Author | : Marián Fabian |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 820 |
| Release | : 2011-02-04 |
| Genre | : Mathematics |
| ISBN | : 1441975152 |
Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
A Short Course on Operator Semigroups
| Author | : Klaus-Jochen Engel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 257 |
| Release | : 2006-06-06 |
| Genre | : Mathematics |
| ISBN | : 0387313419 |
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.
Introductory Functional Analysis with Applications
| Author | : Erwin Kreyszig |
| Publisher | : John Wiley & Sons |
| Total Pages | : 706 |
| Release | : 1991-01-16 |
| Genre | : Mathematics |
| ISBN | : 0471504599 |
KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry
Introduction to Tensor Products of Banach Spaces
| Author | : Raymond A. Ryan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 229 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1447139038 |
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
An Introduction to Hilbert Space
| Author | : N. Young |
| Publisher | : Cambridge University Press |
| Total Pages | : 254 |
| Release | : 1988-07-21 |
| Genre | : Mathematics |
| ISBN | : 1107717167 |
This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Dr Young has stressed applications of the theory, particularly to the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. It is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). Thus it will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.
