Representations of Linear Operators Between Banach Spaces, 

Автор: H.H. Schaefer
Название: Banach Lattices and Positive Operators
ISBN: 3642659721 ISBN-13(EAN): 9783642659720
Издательство: Springer
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Описание: Vector lattices-also called Riesz spaces, K-lineals, or linear lattices-were first considered by F. Riesz, L. Kantorovic, and H. Freudenthal in the middle nineteen thirties; thus their early theory dates back almost as far as the beginning of the systematic investigation of Banach spaces. Schools of research on vector lattices were subsequently founded in the Soviet Union (Kantorovic, Judin, Pinsker, Vulikh) and in Japan (Nakano, Ogasawara, Yosida); other important contri- butions came from the United States (G. Birkhoff, Kakutani, M. H. Stone). L. Kantorovic and his school first recognized the importance of studying vector lattices in connection with Banach's theory of normed vector spaces; they investigated normed vector lattices as well as order-related linear operators between such vector lattices. (Cf. Kantorovic-Vulikh-Pinsker 1950] and Vulikh 1967].) However, in the years following that early period, functional analysis and vector lattice theory began drifting more and more apart; it is my impression that "linear order theory" could not quite keep pace with the rapid development of general functional analysis and thus developed into a theory largely existing for its own sake, even though it had interesting and beautiful applications here and there.

Автор: Fabian
Название: Banach Space Theory
ISBN: 1441975144 ISBN-13(EAN): 9781441975140
Издательство: Springer
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Описание: Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikod?m property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

Автор: Li, Daniel Queffelec, Herve (universite De Lille I)
Название: Introduction to banach spaces: analysis and probability
ISBN: 1107162629 ISBN-13(EAN): 9781107162624
Издательство: Cambridge Academ
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Описание: This two-volume text provides a complete overview of the theory of Banach spaces. Volume 2 focuses on the applications of Banach spaces and includes four surveys outlining recent developments in the field. Written for graduate students these books are also a valuable reference for researchers in analysis.

Автор: Li, Daniel Queffelec, Herve
Название: Introduction to banach spaces: analysis and probability: volume 1
ISBN: 1107160510 ISBN-13(EAN): 9781107160514
Издательство: Cambridge Academ
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Описание: This two-volume text provides a complete overview of the theory of Banach spaces. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. Written for graduate students, these books are also a valuable reference for researchers in analysis.

Автор: Ravi P. Agarwal; Claudio Cuevas; Carlos Lizama
Название: Regularity of Difference Equations on Banach Spaces
ISBN: 3319064460 ISBN-13(EAN): 9783319064468
Издательство: Springer
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Описание: This work introduces readers to the topic of maximal regularity for difference equations. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.

Автор: S. Kantorovitz
Название: Spectral Theory of Banach Space Operators
ISBN: 3540126732 ISBN-13(EAN): 9783540126737
Издательство: Springer
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Автор: Author Unknown
Название: Handbook of the Geometry of Banach Spaces,2
ISBN: 0444513051 ISBN-13(EAN): 9780444513052
Издательство: Elsevier Science
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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.

Автор: Tuomas Hyt?nen; Jan van Neerven; Mark Veraar; Lutz
Название: Analysis in Banach Spaces
ISBN: 3319698079 ISBN-13(EAN): 9783319698076
Издательство: Springer
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Описание: This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory.

Автор: Nigel J. Kalton; Elias Saab
Название: Banach Spaces
ISBN: 3540160515 ISBN-13(EAN): 9783540160519
Издательство: Springer
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Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg
Название: Positive Operators and Semigroups on Banach Lattices
ISBN: 0792319648 ISBN-13(EAN): 9780792319641
Издательство: Springer
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Описание: The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation and provide an overview of the present state of development in various areas of the theory of positive operators and their special properties.