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Author : Anonim
Publisher : Academic Press
Page : 386 pages
File Size : 54,8 Mb
Release : 1985-10-08
Category : Mathematics
ISBN : 9780080874388
Positive Operators
Author : Charalambos D. Aliprantis,Owen Burkinshaw
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 48,5 Mb
Release : 2006-10-21
Category : Computers
ISBN : 9781402050084
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,Rainer Nagel,Annette Grabosch,Günther Greiner,Ulrich Groh,Heinrich P. Lotz,Ulrich Moustakas,Frank Neubrander,Ulf Schlotterbeck
Publisher : Springer
Page : 468 pages
File Size : 40,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540397915
Author : H.H. Schaefer
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642659706
Author : András Bátkai,Marjeta Kramar Fijavž,Abdelaziz Rhandi
Publisher : Birkhäuser
Page : 364 pages
File Size : 48,9 Mb
Release : 2017-02-13
Category : Mathematics
ISBN : 9783319428130
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 : Yuri A. Abramovich,Y. Abramovich,Charalambos D. Aliprantis
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 47,8 Mb
Release : 2002
Category : Operator theory
ISBN : 9780821821473
This book contains complete solutions to the more than six hundred exercises in the authors' book: Invitation to operator theory--foreword.
Author : Χαράλαμπος Δ Αλιπραντής,Kim C. Border,W. A. J. Luxemburg
Publisher : Springer
Page : 248 pages
File Size : 40,7 Mb
Release : 1991
Category : Business & Economics
ISBN : UOM:39015028432865
"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.
Author : Mark Aleksandrovich Krasnoselʹskiĭ,Evgeniĭ Arkadʹevich Lifshit︠s︡,Aleksandr Vladimirovich Sobolev
Publisher : Unknown
Page : 380 pages
File Size : 52,8 Mb
Release : 1989
Category : Iterative methods (Mathematics).
ISBN : UOM:39015015707055
Author : A.V. Balakrishnan
Publisher : Birkhäuser
Page : 376 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884174
These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.
Author : Anonim
Publisher : Unknown
Page : 144 pages
File Size : 54,9 Mb
Release : 1986
Category : Positive operators
ISBN : UOM:39015021858819
Author : Tanja Eisner
Publisher : Birkhäuser
Page : 208 pages
File Size : 55,7 Mb
Release : 2019-10-01
Category : Mathematics
ISBN : 9783034601955
The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.
Author : Paul A. Fuhrmann
Publisher : Courier Corporation
Page : 340 pages
File Size : 40,8 Mb
Release : 2014-01-15
Category : Mathematics
ISBN : 9780486782263
Three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.
Author : K. Donner
Publisher : Lecture Notes in Mathematics
Page : 202 pages
File Size : 51,8 Mb
Release : 1982-02-22
Category : Mathematics
ISBN : UOM:39015049296562
Author : Frans Schurer
Publisher : Unknown
Page : 92 pages
File Size : 51,6 Mb
Release : 1965
Category : Approximation theory
ISBN : UOM:39015078085894
Author : Fazlollah M. Reza
Publisher : Unknown
Page : 100 pages
File Size : 45,6 Mb
Release : 1968
Category : Hilbert space
ISBN : UOM:39015049076386
The vast and rapid advancement in telecommunications, computers, controls, and aerospace science has necessitated major changes in our basic understanding of the theory of electrical signals and processing systems. There is strong evidence that today's engineer needs to extend and to modernize his analytical techniques. The latest fundamental analytical approach for the study of signals and systems seems to have its roots in the mathematics of Functional Analysis. This report contains a bird's-eye view of the elements of Hilbert spaces and their associated linear operators. The first chapter of the report gives an exposition of the most essential properties of Hilbert spaces. The second chapter presents the elements of linear operators acting on such spaces. The report is addressed to engineers and scientists interested in the theory of signals and systems. The applications of the theory will be undertaken in a separate report. (Author).
