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Operator Theory in Function Spaces and Banach Lattices

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 761/5 ( reviews)

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Book Synopsis Operator Theory in Function Spaces and Banach Lattices by : C.B. Huijsmans

Download or read book Operator Theory in Function Spaces and Banach Lattices written by C.B. Huijsmans. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. 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. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.

Operator Theory in Function Spaces and Banach Lattices

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Release : 1995-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 465/5 ( reviews)

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Book Synopsis Operator Theory in Function Spaces and Banach Lattices by : C.B. Huijsmans

Download or read book Operator Theory in Function Spaces and Banach Lattices written by C.B. Huijsmans. This book was released on 1995-01-27. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. 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. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.

Narrow Operators on Function Spaces and Vector Lattices

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 343/5 ( reviews)

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Book Synopsis Narrow Operators on Function Spaces and Vector Lattices by : Mikhail Popov

Download or read book Narrow Operators on Function Spaces and Vector Lattices written by Mikhail Popov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Banach Lattices

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 249/5 ( reviews)

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Book Synopsis Banach Lattices by : Peter Meyer-Nieberg

Download or read book Banach Lattices written by Peter Meyer-Nieberg. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Domain and Integral Extension of Operators

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Release : 2008-09-09
Genre : Mathematics
Kind : eBook
Book Rating : 487/5 ( reviews)

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Book Synopsis Optimal Domain and Integral Extension of Operators by : S. Okada

Download or read book Optimal Domain and Integral Extension of Operators written by S. Okada. This book was released on 2008-09-09. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory.

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