Author:
Publisher: Academic Press
ISBN: 008087438X
Category : Mathematics
Languages : en
Pages : 386
Book Description
Positive Operators
Positive Operators
Author:
Publisher: Academic Press
ISBN: 008087438X
Category : Mathematics
Languages : en
Pages : 386
Book Description
Positive Operators
Publisher: Academic Press
ISBN: 008087438X
Category : Mathematics
Languages : en
Pages : 386
Book Description
Positive Operators
Positive Operators
Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 1402050089
Category : Computers
Languages : en
Pages : 389
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1402050089
Category : Computers
Languages : en
Pages : 389
Book Description
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.
One-parameter Semigroups of Positive Operators
Author: Wolfgang Arendt
Publisher: Springer
ISBN: 3540397914
Category : Mathematics
Languages : en
Pages : 468
Book Description
Publisher: Springer
ISBN: 3540397914
Category : Mathematics
Languages : en
Pages : 468
Book Description
Positive Operators and Semigroups on Banach Lattices
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.
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.
Moments of Linear Positive Operators and Approximation
Author: Vijay Gupta
Publisher: Springer
ISBN: 3030194558
Category : Mathematics
Languages : en
Pages : 96
Book Description
This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.
Publisher: Springer
ISBN: 3030194558
Category : Mathematics
Languages : en
Pages : 96
Book Description
This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.
Extensions of Positive Operators Between Banach Lattices
Author: Donald I. Cartwright
Publisher: Amer Mathematical Society
ISBN: 9780821818640
Category : Mathematics
Languages : en
Pages : 48
Book Description
Publisher: Amer Mathematical Society
ISBN: 9780821818640
Category : Mathematics
Languages : en
Pages : 48
Book Description
Positive Operator Semigroups
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.
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.
Banach Lattices and Positive Operators
Author: H.H. Schaefer
Publisher: Springer Science & Business Media
ISBN: 3642659705
Category : Mathematics
Languages : en
Pages : 388
Book Description
Publisher: Springer Science & Business Media
ISBN: 3642659705
Category : Mathematics
Languages : en
Pages : 388
Book Description
Positive Transfer Operators and Decay of Correlations
Author: Viviane Baladi
Publisher: World Scientific
ISBN: 9789810233280
Category : Science
Languages : en
Pages : 332
Book Description
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system ?mixes?, i.e. ?forgets? its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.
Publisher: World Scientific
ISBN: 9789810233280
Category : Science
Languages : en
Pages : 332
Book Description
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system ?mixes?, i.e. ?forgets? its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.
Positive Linear Systems
Author: Mark Aleksandrovich Krasnoselʹskiĭ
Publisher:
ISBN:
Category : Iterative methods (Mathematics).
Languages : en
Pages : 380
Book Description
Publisher:
ISBN:
Category : Iterative methods (Mathematics).
Languages : en
Pages : 380
Book Description