Positive Operators And Semigroups On Banach Lattices

Author : C.B. Huijsmans,Wilhelm A.J. Luxemburg
Publisher : Springer Science & Business Media
Page : 151 pages
File Size : 44,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401727211

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Positive Operators and Semigroups on Banach Lattices by C.B. Huijsmans,Wilhelm A.J. Luxemburg Pdf

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.

Author : Wolfgang Arendt,Rainer Nagel,Annette Grabosch,Günther Greiner,Ulrich Groh,Heinrich P. Lotz,Ulrich Moustakas,Frank Neubrander,Ulf Schlotterbeck
Publisher : Springer
Page : 468 pages
File Size : 52,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540397915

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One-parameter Semigroups of Positive Operators by Wolfgang Arendt,Rainer Nagel,Annette Grabosch,Günther Greiner,Ulrich Groh,Heinrich P. Lotz,Ulrich Moustakas,Frank Neubrander,Ulf Schlotterbeck Pdf

Author : O. Bratteli,P.E.T. Jørgensen
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400964846

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Positive Semigroups of Operators, and Applications by O. Bratteli,P.E.T. Jørgensen Pdf

This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1

Author : Anonim
Publisher : Unknown
Page : 152 pages
File Size : 53,9 Mb
Release : 1992
Category : Electronic
ISBN : OCLC:493381615

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Positive Operators and Semigroups on Banach Lattices by Anonim Pdf

Author : C.B. Huijsmans,M.A. Kaashoek,W.A.J. Luxemburg,B.de Pagter
Publisher : Birkhäuser
Page : 309 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890762

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Operator Theory in Function Spaces and Banach Lattices by C.B. Huijsmans,M.A. Kaashoek,W.A.J. Luxemburg,B.de Pagter Pdf

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.

Author : H H Schaefer
Publisher : Unknown
Page : 396 pages
File Size : 51,9 Mb
Release : 1974-12-16
Category : Electronic
ISBN : 3642659713

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Banach Lattices and Positive Operators by H H Schaefer Pdf

Author : Klaus-Jochen Engel,Rainer Nagel
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 50,5 Mb
Release : 2006-06-06
Category : Mathematics
ISBN : 9780387313412

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A Short Course on Operator Semigroups by Klaus-Jochen Engel,Rainer Nagel Pdf

The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Author : András Bátkai,Marjeta Kramar Fijavž,Abdelaziz Rhandi
Publisher : Birkhäuser
Page : 364 pages
File Size : 49,7 Mb
Release : 2017-02-13
Category : Mathematics
ISBN : 9783319428130

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Positive Operator Semigroups by András Bátkai,Marjeta Kramar Fijavž,Abdelaziz Rhandi Pdf

This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

Author : Donald I. Cartwright
Publisher : American Mathematical Soc.
Page : 56 pages
File Size : 51,6 Mb
Release : 1975
Category : Banach lattices
ISBN : 9780821818640

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Extensions of Positive Operators between Banach Lattices by Donald I. Cartwright Pdf

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.

Author : H.H. Schaefer
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642659706

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Banach Lattices and Positive Operators by H.H. Schaefer Pdf

Author : Anonim
Publisher : Academic Press
Page : 386 pages
File Size : 41,5 Mb
Release : 1985-10-08
Category : Mathematics
ISBN : 9780080874388

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Positive Operators by Anonim Pdf

Positive Operators

Author : Jan van Neerven
Publisher : Springer
Page : 204 pages
File Size : 54,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540474975

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The Adjoint of a Semigroup of Linear Operators by Jan van Neerven Pdf

This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.

Author : Eduard Yu. Emel'yanov
Publisher : Springer Science & Business Media
Page : 181 pages
File Size : 41,5 Mb
Release : 2007-02-17
Category : Mathematics
ISBN : 9783764381141

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Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups by Eduard Yu. Emel'yanov Pdf

In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Related results, historical notes, exercises, and open problems accompany each chapter.

Author : Helmut H. Schaefer
Publisher : Springer Verlag
Page : 0 pages
File Size : 45,5 Mb
Release : 1974
Category : Banach lattices.
ISBN : 0387069364

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Banach Lattices and Positive Operators by Helmut H. Schaefer Pdf

Author : K. Donner
Publisher : Springer
Page : 195 pages
File Size : 55,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540389699

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Extension of Positive Operators and Korovkin Theorems by K. Donner Pdf