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Narrow Operators on Function Spaces and Vector Lattices, Mikhail Popov, Beata Randrianantoanina


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Автор: Mikhail Popov, Beata Randrianantoanina
Название:  Narrow Operators on Function Spaces and Vector Lattices
ISBN: 9783110263039
Издательство: Walter de Gruyter
Классификация:
ISBN-10: 3110263033
Обложка/Формат: Hardcover
Страницы: 332
Вес: 0.69 кг.
Дата издания: 15.11.2012
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis, MATHEMATICS / Functional Analysis,MATHEMATICS / Mathematical Analysis
Поставляется из: Германии
Описание: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.

Finite Elements in Vector Lattices

Автор: Martin R. Weber
Название: Finite Elements in Vector Lattices
ISBN: 3110350777 ISBN-13(EAN): 9783110350777
Издательство: Walter de Gruyter
Цена: 173490.00 T
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Описание: The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013. It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.

Operator Theory in Function Spaces and Banach Lattices

Автор: C.B. Huijsmans; M.A. Kaashoek; W.A.J. Luxemburg; B
Название: Operator Theory in Function Spaces and Banach Lattices
ISBN: 3034898967 ISBN-13(EAN): 9783034898966
Издательство: Springer
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Цена: 74490.00 T
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Описание: It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory.

Banach Lattices and Positive Operators

Автор: H.H. Schaefer
Название: Banach Lattices and Positive Operators
ISBN: 3642659721 ISBN-13(EAN): 9783642659720
Издательство: Springer
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Цена: 83850.00 T
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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.

Positive Operators and Semigroups on Banach Lattices

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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Цена: 139710.00 T
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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.

The Reflective Lorentzian Lattices of Rank 3

Автор: Daniel Allcock
Название: The Reflective Lorentzian Lattices of Rank 3
ISBN: 0821869116 ISBN-13(EAN): 9780821869116
Издательство: Mare Nostrum (Eurospan)
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Цена: 70230.00 T
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Описание: "November 2012, volume 220, Number 1033 (first of 4 numbers)."

Function Spaces, Differential Operators and Nonlinear Analysis

Автор: Dorothee Haroske; Thomas Runst; Hans-J?rgen Schmei
Название: Function Spaces, Differential Operators and Nonlinear Analysis
ISBN: 3034894147 ISBN-13(EAN): 9783034894142
Издательство: Springer
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Цена: 46570.00 T
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Описание: In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal- ysis on fractals.

Hardy Operators, Function Spaces and Embeddings

Автор: David E. Edmunds; William D. Evans
Название: Hardy Operators, Function Spaces and Embeddings
ISBN: 3642060277 ISBN-13(EAN): 9783642060274
Издательство: Springer
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Цена: 88500.00 T
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Описание: Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems.

Operators and Function Theory

Автор: S.C. Power
Название: Operators and Function Theory
ISBN: 9027720088 ISBN-13(EAN): 9789027720085
Издательство: Springer
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Цена: 208700.00 T
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Описание: In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute 'Operators and Function Theory' in Lancaster, 1984, was devoted to this, and this book contains ex- panded versions (and one contraction) of the main lecture prog- ramme. These varied articles, by prominent researchers, include, for example, a survey of recent results on subnormal operators, recent work of Soviet mathematicians on Hankel and Toeplitz operators, expositions of the decomposition theory and inter- polation theory for Bergman, Besov and Bloch spaces, with applic- ations for special operators, the Krein space approach to inter- polation problems, -- and much more. It is hoped that these proceedings will bring all this lively mathematics to a wider audience. Sincere thanks are due to the Scientific Committee of the North Atlantic Treaty Organisation for the generous support that made the institute possible, and to the London Mathematical Society and the British Council for important additional support. Warm thanks also go to Barry Johnson and the L.M.S. for early guidance, and to my colleague Graham Jameson for much organisational support.

Integral operators in spaces of summable functions

Автор: M.A. Krasnosel`skii; P.P. Zabreyko; E.I. Pustylnik
Название: Integral operators in spaces of summable functions
ISBN: 9401015449 ISBN-13(EAN): 9789401015448
Издательство: Springer
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Цена: 81050.00 T
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Описание: The investigation of many mathematical problems is significantly simplified if it is possible to reduce them to equations involving continuous or com- pletely continuous operators in function spaces.

Introduction to Model Spaces and their Operators

Автор: Garcia
Название: Introduction to Model Spaces and their Operators
ISBN: 1107108748 ISBN-13(EAN): 9781107108745
Издательство: Cambridge Academ
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Цена: 70740.00 T
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Описание: The study of model spaces is a broad field with connections to complex analysis, operator theory, engineering and mathematical physics. This self-contained text is the ideal introduction for newcomers, quickly taking them through the history of the subject and then pointing towards areas of future research.

Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces

Автор: Ariel Barton, Svitlana Mayboroda
Название: Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
ISBN: 1470419890 ISBN-13(EAN): 9781470419899
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
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Описание: Presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable $t$-independent coefficients in spaces of fractional smoothness, in Besov and weighted $L^p$ classes. In particular, the authors prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric, coefficients.


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