Some Aspects Of The Theory Of Riesz Spaces

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Some Aspects Of The Theory Of Riesz Spaces

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Author : W. A. J. Luxemburg
language : en
Publisher:
Release Date : 1979

Some Aspects Of The Theory Of Riesz Spaces written by W. A. J. Luxemburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Riesz spaces categories.

Topological Riesz Spaces And Measure Theory

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Author : D. H. Fremlin
language : en
Publisher: Cambridge University Press
Release Date : 1974-02-28

Topological Riesz Spaces And Measure Theory written by D. H. Fremlin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-02-28 with Mathematics categories.

Dr Fremlin's aim in writing this book is to identify those concepts in measure theory which are most relevant to functional analysis and to integrate them into functional analysis in a way consistent with that subject's structure and habits of thought. This is achieved by approaching measure theory through the properties of Riesz spaces and especially topological Riesz spaces.

Pre Riesz Spaces

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Author : Anke Kalauch
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-19

Pre Riesz Spaces written by Anke Kalauch and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-19 with Mathematics categories.

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

Positive Operators Riesz Spaces And Economics

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Author : Charalambos D. Aliprantis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Positive Operators Riesz Spaces And Economics written by Charalambos D. Aliprantis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 16-20, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the week-long conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence.

On Some Aspects Of The Theory Of Anosov Systems

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Author : Grigorii A. Margulis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

On Some Aspects Of The Theory Of Anosov Systems written by Grigorii A. Margulis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

In this book the seminal 1970 Moscow thesis of Grigoriy A. Margulis is published for the first time. Entitled "On Some Aspects of the Theory of Anosov Systems", it uses ergodic theoretic techniques to study the distribution of periodic orbits of Anosov flows. The thesis introduces the "Margulis measure" and uses it to obtain a precise asymptotic formula for counting periodic orbits. This has an immediate application to counting closed geodesics on negatively curved manifolds. The thesis also contains asymptotic formulas for the number of lattice points on universal coverings of compact manifolds of negative curvature. The thesis is complemented by a survey by Richard Sharp, discussing more recent developments in the theory of periodic orbits for hyperbolic flows, including the results obtained in the light of Dolgopyat's breakthroughs on bounding transfer operators and rates of mixing.

Introduction To Operator Theory In Riesz Spaces

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Author : Adriaan C Zaanen
language : en
Publisher:
Release Date : 1996-12-16

Introduction To Operator Theory In Riesz Spaces written by Adriaan C Zaanen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-16 with categories.

Finite Elements In Vector Lattices

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Author : Martin R. Weber
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-08-20

Finite Elements In Vector Lattices written by Martin R. Weber and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Mathematics categories.

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.

Positive Operators And Semigroups On Banach Lattices

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Author : C.B. Huijsmans
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Positive Operators And Semigroups On Banach Lattices written by C.B. Huijsmans and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

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.

Dominated Operators

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Author : A.G. Kusraev
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-30

Dominated Operators written by A.G. Kusraev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-30 with Mathematics categories.

This book presents the main results of the last fifteen years on dominated operators, demonstrating a well-developed theory with a wide range of applications. The exposition focuses on the fundamental properties of dominated operators with special emphasis on their particular classes: integral and pseudointegral operators, disjointness preserving and decomposable operators, summing and cyclically compact operators, etc. Audience: This volume will be of interest to postgraduate students and researchers whose work involves geometric functional analysis, operator theory, vector lattices, measure and integration theory, and mathematical logic and foundations.

Kurzweil Henstock Integral In Riesz Spaces

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Author : Antonio Boccuto
language : en
Publisher: Bentham Science Publishers
Release Date : 2010-04-02

Kurzweil Henstock Integral In Riesz Spaces written by Antonio Boccuto and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-02 with Mathematics categories.

"This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Sipos integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. "