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Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis PDF Author: R. Beattie
Publisher: Springer Science & Business Media
ISBN: 9401599424
Category : Mathematics
Languages : en
Pages : 264

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Book Description
This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.

Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis PDF Author: R. Beattie
Publisher: Springer Science & Business Media
ISBN: 9401599424
Category : Mathematics
Languages : en
Pages : 264

View

Book Description
This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.

Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis PDF Author: R. Beattie
Publisher:
ISBN: 9789401599436
Category :
Languages : en
Pages : 280

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Convergence Structures and Applications, II

Convergence Structures and Applications, II PDF Author:
Publisher:
ISBN:
Category : Convergence
Languages : en
Pages : 238

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Continuity Theory

Continuity Theory PDF Author: Louis Nel
Publisher: Springer
ISBN: 331931159X
Category : Mathematics
Languages : en
Pages : 460

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Book Description
This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous studies and new material. In view of its many novel features, this book will be of interest also to mature readers who have studied continuous mappings from the subject's classical texts and wish to become acquainted with a new approach. The theory of continuous mappings serves as infrastructure for more specialized mathematical theories like differential equations, integral equations, operator theory, dynamical systems, global analysis, topological groups, topological rings and many more. In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding of functional analysis, towards establishing an efficient setting for its pursuit.

Convergence Structures and Applications to Analysis

Convergence Structures and Applications to Analysis PDF Author:
Publisher:
ISBN:
Category : Convergence
Languages : en
Pages : 175

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Handbook of the History of General Topology

Handbook of the History of General Topology PDF Author: C.E. Aull
Publisher: Springer Science & Business Media
ISBN: 9401704708
Category : Mathematics
Languages : en
Pages : 1223

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Book Description
This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

International mathematical news

International mathematical news PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : de
Pages : 830

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages :

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Reviews in Functional Analysis, 1980-86

Reviews in Functional Analysis, 1980-86 PDF Author:
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 2461

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Compactness in General Function Spaces

Compactness in General Function Spaces PDF Author: H. Poppe
Publisher:
ISBN:
Category : Compact spaces
Languages : en
Pages : 110

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