Methods In The Theory Of Hereditarily Indecomposable Banach Spaces

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Methods In The Theory Of Hereditarily Indecomposable Banach Spaces

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Author : Spiros Argyros
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Methods In The Theory Of Hereditarily Indecomposable Banach Spaces written by Spiros Argyros and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.

Banach Spaces And Descriptive Set Theory Selected Topics

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Author : Pandelis Dodos
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-10

Banach Spaces And Descriptive Set Theory Selected Topics written by Pandelis Dodos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-10 with Mathematics categories.

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.

Methods In Banach Space Theory

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Author : Jesus M. F. Castillo
language : en
Publisher: Cambridge University Press
Release Date : 2006-11-30

Methods In Banach Space Theory written by Jesus M. F. Castillo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.

A comprehensive overview of modern Banach space theory.

A Hereditarily Indecomposable Banach Space And Embeddings Of L Into Spaces Of Operators

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Author : Kevin Beanland
language : en
Publisher:
Release Date : 2006

A Hereditarily Indecomposable Banach Space And Embeddings Of L Into Spaces Of Operators written by Kevin Beanland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Banach spaces categories.

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes

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Author : Sirakov Boyan
language : en
Publisher: World Scientific
Release Date : 2019-02-27

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Sirakov Boyan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Renormings In Banach Spaces

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Author : Antonio José Guirao
language : en
Publisher: Springer Nature
Release Date : 2022-08-23

Renormings In Banach Spaces written by Antonio José Guirao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.

This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections. The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured form. Second, a large collection of recent contributions shows the actual landscape of the field, helping the reader to access the vast existing literature, with hints of proofs and relationships among the different subtopics. Third, it can be used as a reference thanks to comprehensive lists and detailed indices that may lead to expected or unexpected information. Both specialists and newcomers to the field will find this book appealing, since its content is presented in such a way that ready-to-use results may be accessed without going into the details. This flexible approach, from the in-depth reading of a proof to the search for a useful result, together with the fact that recent results are collected here for the first time in book form, extends throughout the book. Open problems and discussions are included, encouraging the advancement of this active area of research.

Non Associative Normed Algebras

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Author : Miguel Cabrera García
language : en
Publisher: Cambridge University Press
Release Date : 2018-04-12

Non Associative Normed Algebras written by Miguel Cabrera García and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Mathematics categories.

The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Infinite Dimensional Complex Symplectic Spaces

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Author : William Norrie Everitt
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Infinite Dimensional Complex Symplectic Spaces written by William Norrie Everitt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.

Ultra Techniques In Banach Space Theory

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Author : Brailey Sims
language : en
Publisher: Kingston, Ont. : Queen's University
Release Date : 1982

Ultra Techniques In Banach Space Theory written by Brailey Sims and has been published by Kingston, Ont. : Queen's University this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Banach spaces categories.

The Complex Monge Ampere Equation And Pluripotential Theory

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Author : Sławomir Kołodziej
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

The Complex Monge Ampere Equation And Pluripotential Theory written by Sławomir Kołodziej and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems of pluripotential theory. Then the Dirichlet problem for the complex Monge-Ampere equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of the equation give rise to plurisubharmonic solutions satisfying additional requirements such as continuity, boundedness or some weaker ones. In the last part, the methods of pluripotential theory are implemented to prove the existence and stability of weak solutions of the complex Monge-Ampere equation on compact Kahler manifolds. This is a generalization of the Calabi-Yau theorem.