Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space, P. de la Harpe

Автор: Lindenstrauss
Название: Classical Banach Spaces I and II
ISBN: 3540606289 ISBN-13(EAN): 9783540606284
Издательство: Springer
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Описание: This volume in the series "Classics in Mathematics" deals with two types of Banach spaces - sequence spaces and function spaces.

Автор: N. Krupnik
Название: Banach Algebras with Symbol and Singular Integral Operators
ISBN: 303485465X ISBN-13(EAN): 9783034854658
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Описание: Using this the- ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)].

Автор: H.E. Lacey
Название: The Isometric Theory of Classical Banach Spaces
ISBN: 3642657648 ISBN-13(EAN): 9783642657641
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Описание: The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00.

Название: Representations of Linear Operators Between Banach Spaces
ISBN: 3034806418 ISBN-13(EAN): 9783034806411
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Описание: The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of classical Hilbert space results of this nature that have their roots in the work of Hilbert, F. Riesz and E. Schmidt.

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.

Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg
Название: Positive Operators and Semigroups on Banach Lattices
ISBN: 9048142059 ISBN-13(EAN): 9789048142057
Издательство: Springer
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Автор: S. Kantorovitz
Название: Spectral Theory of Banach Space Operators
ISBN: 3540126732 ISBN-13(EAN): 9783540126737
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Автор: H.H. Schaefer
Название: Banach Lattices and Positive Operators
ISBN: 3642659721 ISBN-13(EAN): 9783642659720
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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: Krzysztof Jarosz
Название: Perturbation of Banach Algebras
ISBN: 3540152180 ISBN-13(EAN): 9783540152187
Издательство: Springer
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