Extensions of Positive Operators Between Banach Lattices

Extensions of Positive Operators Between Banach Lattices PDF Author: Donald I. Cartwright
Publisher: Amer Mathematical Society
ISBN: 9780821818640
Category : Mathematics
Languages : en
Pages : 48

Book Description


Extensions of positive operators between Banach lattices

Extensions of positive operators between Banach lattices PDF Author: Donald I. Cartwright
Publisher:
ISBN: 9780821859285
Category :
Languages : en
Pages :

Book Description


Banach Lattices

Banach Lattices PDF Author: Peter Meyer-Nieberg
Publisher: Springer Science & Business Media
ISBN: 3642767249
Category : Mathematics
Languages : en
Pages : 407

Book Description


Extension of Positive Operators and Korovkin Theorems

Extension of Positive Operators and Korovkin Theorems PDF Author: K. Donner
Publisher: Springer
ISBN: 3540389695
Category : Mathematics
Languages : en
Pages : 195

Book Description


Positive Operators and Semigroups on Banach Lattices

Positive Operators and Semigroups on Banach Lattices PDF Author: C.B. Huijsmans
Publisher: Springer Science & Business Media
ISBN: 940172721X
Category : Mathematics
Languages : en
Pages : 151

Book Description
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
ISBN: 3764386487
Category : Mathematics
Languages : en
Pages : 406

Book Description
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.

The Hahn-Banach Theorem Surveyed

The Hahn-Banach Theorem Surveyed PDF Author: Gerard Buskes
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 60

Book Description


Convexity, Extension of Linear Operators, Approximation and Applications

Convexity, Extension of Linear Operators, Approximation and Applications PDF Author: Octav Olteanu
Publisher: Cambridge Scholars Publishing
ISBN: 1527585050
Category : Mathematics
Languages : en
Pages : 180

Book Description
This book emphasizes some basic results in functional and classical analysis, including Hahn-Banach-type theorems, the Markov moment problem, polynomial approximation on unbounded subsets, convexity and convex optimization, elements of operator theory, a global method for convex monotone operators and a connection with the contraction principle. It points out the connection between linear continuous operators and convex continuous operators, and establishes their relationships with other fields of mathematics and physics. The book will appeal to students, PhD aspirants, researchers, professors, engineers, and any reader interested in mathematical analysis or its applications.

Problems in Operator Theory

Problems in Operator Theory PDF Author: Yuri A. Abramovich
Publisher: American Mathematical Soc.
ISBN: 0821821474
Category : Mathematics
Languages : en
Pages : 402

Book Description
This book contains complete solutions to the more than six hundred exercises in the authors' book: Invitation to operator theory--foreword.

Pre-Riesz Spaces

Pre-Riesz Spaces PDF Author: Anke Kalauch
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110476290
Category : Mathematics
Languages : en
Pages : 318

Book Description
This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces