New Classes Of Lp Spaces

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New Classes Of Lp Spaces

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Author : J. Bourgain
language : en
Publisher: Springer
Release Date : 2006-11-14

New Classes Of Lp Spaces written by J. Bourgain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new LPspaces. Secondly, because certain constructions are based on new ideas and techniques with possibly other applications. Finally, especially in chapters four and five, crucial use is made of certain probabilistic results which have an independent importance.

New Classes Of L Superscript P Spaces

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Author : Jean Bourgain
language : en
Publisher: Springer
Release Date : 1981

New Classes Of L Superscript P Spaces written by Jean Bourgain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

New Classes Of Lp Spaces

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Author : Jean Bourgain
language : en
Publisher:
Release Date : 1979

New Classes Of Lp Spaces written by Jean Bourgain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

Handbook Of The Geometry Of Banach Spaces

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Author :
language : en
Publisher: Elsevier
Release Date : 2001-08-15

Handbook Of The Geometry Of Banach Spaces written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-15 with Mathematics categories.

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

A New Class Of Singular Integral Equations And Its Application To Differential Equations With Singular Coefficients

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Author : L. G. Mikhailov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1970-12-31

A New Class Of Singular Integral Equations And Its Application To Differential Equations With Singular Coefficients written by L. G. Mikhailov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-12-31 with Mathematics categories.

No detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".

Functional Analysis And Its Applications

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Author : Vladimir Kadets
language : en
Publisher: Elsevier
Release Date : 2004-07-31

Functional Analysis And Its Applications written by Vladimir Kadets and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-31 with Mathematics categories.

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.

Banach Spaces And Descriptive Set Theory Selected Topics

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Author : Pandelis Dodos
language : en
Publisher: Springer
Release Date : 2010-04-15

Banach Spaces And Descriptive Set Theory Selected Topics written by Pandelis Dodos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-15 with Mathematics categories.

These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we ?nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC? We will consider quite classical properties of Banach spaces, such as “- ing re?exive,” “having separable dual,” “not containing an isomorphic copy of c ,” “being non-universal,” etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and satis?es the requirements imposed above.

Narrow Operators On Function Spaces And Vector Lattices

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Author : Mikhail Popov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-12-06

Narrow Operators On Function Spaces And Vector Lattices written by Mikhail Popov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.

Three Space Problems In Banach Space Theory

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Author : Jesus M.F. Castillo
language : en
Publisher: Springer
Release Date : 2007-12-03

Three Space Problems In Banach Space Theory written by Jesus M.F. Castillo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-03 with Mathematics categories.

This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.

A New Class Of Banach Spaces Associated With A Disintegrable Measure

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Author : Joseph Gregory Kupka
language : en
Publisher:
Release Date : 1970

A New Class Of Banach Spaces Associated With A Disintegrable Measure written by Joseph Gregory Kupka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.