Author: J C Ferrando
Publisher: CRC Press
ISBN: 9780582287037
Category : Mathematics
Languages : en
Pages : 252
Book Description
This text draws together a number of recent results concerning barrelled locally convex spaces, from general facts involving cardinality and dimensionality to barrelledness of some familiar vector-valued or scalar-valued normed spaces of functional analysis, and providing a study of some of these spaces. Throughout the exposition, the authors show the strong relationship between barrelledness properties and vector-valued measure theory.
Metrizable Barrelled Spaces
Author: J C Ferrando
Publisher: CRC Press
ISBN: 9780582287037
Category : Mathematics
Languages : en
Pages : 252
Book Description
This text draws together a number of recent results concerning barrelled locally convex spaces, from general facts involving cardinality and dimensionality to barrelledness of some familiar vector-valued or scalar-valued normed spaces of functional analysis, and providing a study of some of these spaces. Throughout the exposition, the authors show the strong relationship between barrelledness properties and vector-valued measure theory.
Publisher: CRC Press
ISBN: 9780582287037
Category : Mathematics
Languages : en
Pages : 252
Book Description
This text draws together a number of recent results concerning barrelled locally convex spaces, from general facts involving cardinality and dimensionality to barrelledness of some familiar vector-valued or scalar-valued normed spaces of functional analysis, and providing a study of some of these spaces. Throughout the exposition, the authors show the strong relationship between barrelledness properties and vector-valued measure theory.
Barrelled Locally Convex Spaces
Author: P. Pérez Carreras
Publisher: Elsevier
ISBN: 0080872425
Category : Mathematics
Languages : en
Pages : 529
Book Description
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques.Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and Br-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others.
Publisher: Elsevier
ISBN: 0080872425
Category : Mathematics
Languages : en
Pages : 529
Book Description
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques.Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and Br-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others.
Barrelledness in Topological and Ordered Vector Spaces
Author: T. Husain
Publisher: Springer
ISBN: 3540355596
Category : Mathematics
Languages : en
Pages : 267
Book Description
Publisher: Springer
ISBN: 3540355596
Category : Mathematics
Languages : en
Pages : 267
Book Description
Metrizable Barrelled Spaces Pitman Research Notes
Author: Ferrando
Publisher: Halsted Press
ISBN: 9780470235829
Category :
Languages : en
Pages : 248
Book Description
Publisher: Halsted Press
ISBN: 9780470235829
Category :
Languages : en
Pages : 248
Book Description
Topological Vector Spaces, Algebras and Related Areas
Author: A Lau
Publisher: CRC Press
ISBN: 9780582257771
Category : Mathematics
Languages : en
Pages : 284
Book Description
This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.
Publisher: CRC Press
ISBN: 9780582257771
Category : Mathematics
Languages : en
Pages : 284
Book Description
This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.
Functional Analysis with Current Applications in Science, Technology and Industry
Author: Martin Brokate
Publisher: CRC Press
ISBN: 1000658384
Category : Mathematics
Languages : en
Pages : 360
Book Description
This volume constitutes the proceedings of a conference on functional analysis and its applications, which took place in India during December 1996. Topics include topological vector spaces, Banach algebras, meromorphic functions, partial differential equations, variational equations and inequalities, optimization, wavelets, elastroplasticity, numerical integration, fractal image compression, reservoir simulation, forest management, and industrial maths.
Publisher: CRC Press
ISBN: 1000658384
Category : Mathematics
Languages : en
Pages : 360
Book Description
This volume constitutes the proceedings of a conference on functional analysis and its applications, which took place in India during December 1996. Topics include topological vector spaces, Banach algebras, meromorphic functions, partial differential equations, variational equations and inequalities, optimization, wavelets, elastroplasticity, numerical integration, fractal image compression, reservoir simulation, forest management, and industrial maths.
A Course on Topological Vector Spaces
Author: Jürgen Voigt
Publisher: Springer Nature
ISBN: 3030329453
Category : Mathematics
Languages : en
Pages : 152
Book Description
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Publisher: Springer Nature
ISBN: 3030329453
Category : Mathematics
Languages : en
Pages : 152
Book Description
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Function Spaces
Author: Henryk Hudzik
Publisher: CRC Press
ISBN: 1482270501
Category : Mathematics
Languages : en
Pages : 532
Book Description
This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.
Publisher: CRC Press
ISBN: 1482270501
Category : Mathematics
Languages : en
Pages : 532
Book Description
This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.
p-adic Functional Analysis
Author: W.H. Schikhof
Publisher: CRC Press
ISBN: 1000110060
Category : Mathematics
Languages : en
Pages : 416
Book Description
"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."
Publisher: CRC Press
ISBN: 1000110060
Category : Mathematics
Languages : en
Pages : 416
Book Description
"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."
Functional Analysis And Related Topics - Proceedings Of The International Symposium
Author: Shozo Koshi
Publisher: World Scientific
ISBN: 9814555924
Category :
Languages : en
Pages : 282
Book Description
The objective of this symposium is to discuss the recent developments in the various areas of functional analysis. This volume consists mainly of articles in the fields of topological algebra, Banach spaces, function spaces, harmonic analysis, operator theory and application of functional analysis.
Publisher: World Scientific
ISBN: 9814555924
Category :
Languages : en
Pages : 282
Book Description
The objective of this symposium is to discuss the recent developments in the various areas of functional analysis. This volume consists mainly of articles in the fields of topological algebra, Banach spaces, function spaces, harmonic analysis, operator theory and application of functional analysis.