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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.
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.
Author: O. Bratteli Publisher: Springer Science & Business Media ISBN: 9400964846 Category : Mathematics Languages : en Pages : 200
Book Description
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: C.B. Huijsmans Publisher: Birkhäuser ISBN: 3034890761 Category : Mathematics Languages : en Pages : 309
Book Description
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: András Bátkai Publisher: Birkhäuser ISBN: 3319428136 Category : Mathematics Languages : en Pages : 366
Book Description
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. ISBN: 0821818643 Category : Banach lattices Languages : en Pages : 56
Book Description
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: Klaus-Jochen Engel Publisher: Springer Science & Business Media ISBN: 0387313419 Category : Mathematics Languages : en Pages : 257
Book Description
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: Jan van Neerven Publisher: Springer ISBN: 3540474978 Category : Mathematics Languages : en Pages : 204
Book Description
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: C.B. Huijsmans
Author: C.B. Huijsmans
Author: Wolfgang Arendt
Author: H.H. Schaefer
Author: O. Bratteli
Author: 
Author: C.B. Huijsmans
Author: András Bátkai
Author: Donald I. Cartwright
Author: Klaus-Jochen Engel
Author: Jan van Neerven