Extensions of Positive Operators between Banach Lattices

Extensions of Positive Operators between Banach Lattices PDF

Author: Donald I. Cartwright

Publisher: American Mathematical Soc.

Published: 1975

Total Pages: 56

ISBN-13: 0821818643

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In this monograph, the author principally develops an interesting and nontrivial parallel to the theory of injective Banach spaces for the case of Banach lattices and positive operators. In addition, the author also shows that certain spaces of operators are injective Banach lattices. A complete description of injective sequence spaces and finite-dimensional Banach lattices is also provided.

Positive Operators and Semigroups on Banach Lattices

Positive Operators and Semigroups on Banach Lattices PDF

Author: C.B. Huijsmans

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 151

ISBN-13: 940172721X

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During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. 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 of various areas of the theory of positive operators and their spectral properties. This book will be of interest to analysts whose work involves positive matrices and positive operators.

Optimal Domain and Integral Extension of Operators

Optimal Domain and Integral Extension of Operators PDF

Author: S. Okada

Publisher: Springer Science & Business Media

Published: 2008-09-09

Total Pages: 406

ISBN-13: 3764386487

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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.

Positive Operators

Positive Operators PDF

Author: Charalambos D. Aliprantis

Publisher: Springer Science & Business Media

Published: 2006-10-21

Total Pages: 389

ISBN-13: 1402050089

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Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since publication of this book in 1985, the subject of positive operators and Riesz spaces has found practical applications in disciplines including social sciences and engineering. This book examines positive operators in the setting of Riesz spaces and Banach lattices, from both the algebraic and topological points of view.

Banach Lattices

Banach Lattices PDF

Author: Peter Meyer-Nieberg

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 407

ISBN-13: 3642767249

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