Positive Operators PDF Download

Author:
Publisher: Academic Press
ISBN: 008087438X
Category : Mathematics
Languages : en
Pages : 386

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Positive Operators

Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 1402050089
Category : Computers
Languages : en
Pages : 389

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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.

Author: Wolfgang Arendt
Publisher: Springer
ISBN: 3540397914
Category : Mathematics
Languages : en
Pages : 468

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Author: C.B. Huijsmans
Publisher: Springer Science & Business Media
ISBN: 940172721X
Category : Mathematics
Languages : en
Pages : 151

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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: Vijay Gupta
Publisher: Springer
ISBN: 3030194558
Category : Mathematics
Languages : en
Pages : 96

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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.

Author: Donald I. Cartwright
Publisher: Amer Mathematical Society
ISBN: 9780821818640
Category : Mathematics
Languages : en
Pages : 48

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Author: András Bátkai
Publisher: Birkhäuser
ISBN: 3319428136
Category : Mathematics
Languages : en
Pages : 366

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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: H.H. Schaefer
Publisher: Springer Science & Business Media
ISBN: 3642659705
Category : Mathematics
Languages : en
Pages : 388

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Author: Mark Aleksandrovich Krasnoselʹskiĭ
Publisher:
ISBN:
Category : Iterative methods (Mathematics).
Languages : en
Pages : 380

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Book Description

Author: Χαράλαμπος Δ Αλιπραντής
Publisher: Springer
ISBN:
Category : Business & Economics
Languages : en
Pages : 248

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Book Description
"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 specialized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between mathematicians 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 appreciate 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 conference." --Publisher.