Download or read book On Banach Ideals Determined by Banach Lattices and Their Applications written by N. J. Nielsen and published by . This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Banach Ideals Determined by Banach Lattices written by A. Oberschelp and published by . This book was released on 1973 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Banach Lattices and Positive Operators written by H.H. Schaefer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Banach Ideals Determined by Nanach Lattices and Their Applications written by N. J. Nielsen and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book M Ideals in Banach Spaces and Banach Algebras written by Peter Harmand and published by Springer. This book was released on 2006-11-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.
Download or read book Banach Lattices written by Peter Meyer-Nieberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Schwartz Operator Ideals Determined by the Order bounded Sets in a Banach Lattice written by J. Swart and published by . This book was released on 1980 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Operator Theory in Function Spaces and Banach Lattices written by C.B. Huijsmans and published by Birkhäuser. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.
Download or read book Banach Lattices as Spaces of Continuous Extended Real valued Functions written by Gordon Barnett Weir and published by . This book was released on 1992 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Preprint series written by and published by . This book was released on 2003 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book M Ideals in Banach Spaces and Banach Algebras written by Peter Harmand and published by . This book was released on 2014-01-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Banach Mazur Distances and Finite dimensional Operator Ideals written by Nicole Tomczak-Jaegermann and published by Longman Scientific and Technical. This book was released on 1989 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Download or read book Banach Lattices and Operators written by Hans-Ulrich Schwarz and published by . This book was released on 1984 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Invitation to Operator Theory written by Yuri A. Abramovich and published by American Mathematical Soc.. This book was released on 2002 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices using their topological and order structures and properties. Abramovich and Aliprantis give a unique presentation that includes many new and very recent developments in operator theory and also draws together results which are spread over the vast literature. For instance, invariant subspaces of positive operators and the Daugavet equation arepresented in monograph form for the first time. The authors keep the discussion self-contained and use exercises to achieve this goal. The book contains over 600 exercises to help students master the material developed in the text. The exercises are of varying degrees of difficulty and play an importantand useful role in the exposition. They help to free the proofs of the main results of some technical details but provide students with accurate and complete accounts of how such details ought to be worked out. The exercises also contain a considerable amount of additional material that includes many well-known results whose proofs are not readily available elsewhere. The companion volume, Problems in Operator Theory, also by Abramovich and Aliprantis, is available from the AMS as Volume 51 inthe Graduate Studies in Mathematics series, and it contains complete solutions to all exercises in An Invitation to Operator Theory. The solutions demonstrate explicitly technical details in the proofs of many results in operator theory, providing the reader with rigorous and complete accounts ofsuch details. Finally, the book offers a considerable amount of additional material and further developments. By adding extra material to many exercises, the authors have managed to keep the presentation as self-contained as possible. The best way of learning mathematics is by doing mathematics, and the book Problems in Operator Theory will help achieve this goal. Prerequisites to each book are the standard introductory graduate courses in real analysis, general topology, measure theory, andfunctional analysis. An Invitation to Operator Theory is suitable for graduate or advanced courses in operator theory, real analysis, integration theory, measure theory, function theory, and functional analysis. Problems in Operator Theory is a very useful supplementary text in the above areas. Bothbooks will be of great interest to researchers and students in mathematics, as well as in physics, economics, finance, engineering, and other related areas, and will make an indispensable reference tool.
Download or read book Functional Analysis Surveys and Recent Results III written by K.-D. Bierstedt and published by Elsevier. This book was released on 2000-04-01 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics. Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.
Download or read book Vector Lattices and Intergal Operators written by Semën Samsonovich Kutateladze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of vector lattices, stemming from the mid-thirties, is now at the stage where its main achievements are being summarized. The sweeping changes of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregnated with principally new tools and techniques from other sections of mathematics. These circumstances gave rise to a series of mono graphs treating separate aspects of the theory and oriented to specialists. At the same time, the necessity of a book intended for a wider readership, reflecting the modern diretions of research became clear. The present book is meant to be an attempt at implementing this task. Although oriented to readers making their first acquaintance with vector-lattice theory, it is composed so that the main topics dealt with in the book reach the current level of research in the field, which is of interest and import for specialists. The monograph was conceived so as to be divisible into two parts that can be read independently of one another. The first part is mainly Chapter 1, devoted to the so-called Boolean-valued analysis of vector lattices. The term designates the applica tion of the theory of Boolean-valued models by D. Scott, R. Solovay and P.
