Автор: Lindenstrauss Название: Classical Banach Spaces I and II ISBN: 3540606289 ISBN-13(EAN): 9783540606284 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume in the series "Classics in Mathematics" deals with two types of Banach spaces - sequence spaces and function spaces.
Автор: Vladimir Kadets Название: Series in Banach Spaces ISBN: 3034899424 ISBN-13(EAN): 9783034899420 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied.
Автор: Author Unknown Название: Handbook of the Geometry of Banach Spaces,2 ISBN: 0444513051 ISBN-13(EAN): 9780444513052 Издательство: Elsevier Science Рейтинг: Цена: 27791.00 р. Наличие на складе: Поставка под заказ.
Описание: Encouraged by new perspectives in Banach space theory, the editors present this second volume that opens with an introductory essay that explains the basics of the theory. The rest of the chapters focus on specific directions of Banach space theory or its applications.
Описание: The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of classical Hilbert space results of this nature that have their roots in the work of Hilbert, F. Riesz and E. Schmidt.
Автор: Pisier Название: Martingales in Banach Spaces ISBN: 1107137241 ISBN-13(EAN): 9781107137240 Издательство: Cambridge Academ Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Martingales arise in many areas of probability theory. This book focuses on their applications to the geometry of Banach spaces and discusses the interplay of Banach space valued martingales with various other areas of analysis. It is accessible to graduates with a basic knowledge of real and complex analysis.
Автор: Tuomas Hyt?nen; Jan van Neerven; Mark Veraar; Lutz Название: Analysis in Banach Spaces ISBN: 3319485199 ISBN-13(EAN): 9783319485195 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.
Автор: Dales Название: Banach Spaces of Continuous Functions as Dual Spaces ISBN: 3319323474 ISBN-13(EAN): 9783319323473 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Поставка под заказ.
Описание: Thisbook gives a coherent account of the theory of Banach spaces and Banachlattices, using the spaces C_0(K) of continuous functions on a locallycompact space K as the main example. The study of C_0(K) has beenan important area of functional analysis for many years. It gives severalnew constructions, some involving Boolean rings, of this space as well as many results on theStonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions aredual spaces and when they are bidual spaces.
Описание: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering.
The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6, 2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional mathematician and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry.
The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study.
Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
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