Aspects of Positivity in Functional Analysis PDF Download

Author: R. Nagel
Publisher: Elsevier
ISBN: 9780080872339
Category : Mathematics
Languages : en
Pages : 274

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Book Description
The contributions collected in this volume exhibit the increasingly wide spectrum of applications of abstract order theory in analysis and show the possibilities of order-theoretical argumentation. The following areas are discussed: potential theory, partial differential operators of second order, Schrodinger operators, theory of convexity, one-parameter semigroups, Lie algebras, Markov processes, operator-algebras, noncommutative integration and geometry of Banach spaces.

Author: Francis Hirsch
Publisher: Springer Science & Business Media
ISBN: 9780387985244
Category : Mathematics
Languages : en
Pages : 424

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Book Description
This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.

Author: Eder Kikianty
Publisher: Springer Nature
ISBN: 3030709744
Category : Mathematics
Languages : en
Pages : 321

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Book Description
This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semi-groups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to mathematical economics and financial mathematics. The contributions in this book reflect the variety of topics discussed at the conference. They will be of interest to researchers in functional analysis, operator theory, measure and integration theory, operator algebras, and economics. Positivity X was dedicated to the memory of our late colleague and friend, Coenraad Labuschagne. His untimely death in 2018 came as an enormous shock to the Positivity community. He was a prominent figure in the Positivity community and was at the forefront of the recent development of abstract stochastic processes in a vector lattice context.

Author: Karim Boulabiar
Publisher: Springer Science & Business Media
ISBN: 3764384786
Category : Mathematics
Languages : en
Pages : 282

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Book Description
This book presents nine survey articles addressing topics surrounding positivity, with an emphasis on functional analysis. The book assembles a wide spectrum of research into positivity, providing up-to-date information on topics of current interest. The discussion provides insight into classical areas like spaces of continuous functions, f-algebras, and integral operators. The coverage extends is broad, including vector measures, operator spaces, ordered tensor products, and non-commutative Banach function spaces.

Author: Gerald J. Murphy
Publisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 297

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Book Description
This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Author: Kosaku Yosida
Publisher: Springer Science & Business Media
ISBN: 3662117916
Category : Mathematics
Languages : en
Pages : 480

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Book Description

Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461208971
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.

Author: Peter D. Lax
Publisher: John Wiley & Sons
ISBN: 1118626745
Category : Mathematics
Languages : en
Pages : 451

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Book Description
Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. Includes an appendix on the Riesz representation theorem.

Author: Yuri Abramovich
Publisher: Springer Science & Business Media
ISBN: 3642722229
Category : Business & Economics
Languages : en
Pages : 301

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Book Description
In July of 1996, the conference Nonlinear Analysis and its Applications in Engineering and Economics took place on the Greek island of Samos, the birthplace of Pythagoras. During this conference, a special session was held on th the occasion of the 50 birthday of the well known mathematician and math ematical economist Professor Charalambos Aliprantis, who, by his numerous friends, is usually called Roko. The story behind this nickname is not quite clear yet; it will be investigated further and will be made public prior to his th 60 birthday. (At this moment we have already found out that it has nothing to do with the famous movie Rocco and his Brothers even though Roko does have two brothers. ) Roko was born on the Greek island of Cephalonia on May 12,1946, and his elementary and secondary school education took place there. At 18 he entered the Mathematics Department at the University of Athens. Upon graduation from the University of Athens he proceeded with his graduate studies at Cal tech, where in 1973 he completed his Ph. D. degree in Mathematics under the supervision of Professor W. A. J. Luxemburg. His research career can be divided into two periods. The first one, till 1981, was devoted entirely to pure mathematics. The other one, after 1981, has been subdivided between pure mathematics and mathematical economics. The main objects of Roko's work in pure mathematics are spaces with order structure (Riesz spaces) and operators acting on them.

Author: Deanne A. Crone
Publisher: Guilford Publications
ISBN: 146251975X
Category : Psychology
Languages : en
Pages : 306

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Book Description
A widely used practitioner guide and text, this book presents a blueprint for meeting the challenges of severe problem behavior in grades PreK-8. It shows how to provide effective behavior support for the 1-5% of students who require intensive, individualized intervention. Case examples illustrate step-by-step procedures for identifying student needs using functional behavioral assessment (FBA) and designing, implementing, and evaluating team-based behavior support plans (BSPs). The book also describes how to build school- and districtwide capacity to conduct FBA-BSPs. Reproducible forms and worksheets are included; purchasers get access to a Web page where they can download and print the reproducible materials in a convenient 8 1/2" x 11" size. New to This Edition: *Incorporates current FBA-BSP research and best practices. *Chapters on developing districtwide capacity; FBA apps and software; applications for academic problems; and early childhood settings. *Increased attention to FBA-BSP as a Tier III intervention within a multi-tiered framework. See also the authors' less intensive intervention for moderate problem behavior: Responding to Problem Behavior in Schools, Second Edition: The Behavior Education Program, and the related training DVD, Check-In, Check-Out, Second Edition: A Tier 2 Intervention for Students at Risk.