Recent Progress In Functional Analysis

Author: K.D. Bierstedt
Editor: Elsevier
ISBN: 9780080515922
Size: 18,64 MB
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This Proceedings Volume contains 32 articles on various interesting areas of present-day functional analysis and its applications: Banach spaces and their geometry, operator ideals, Banach and operator algebras, operator and spectral theory, Frechet spaces and algebras, function and sequence spaces. The authors have taken much care with their articles and many papers present important results and methods in active fields of research. Several survey type articles (at the beginning and the end of the book) will be very useful for mathematicians who want to learn "what is going on" in some particular field of research.

Functional Analysis And Complex Analysis

Author: Aydin Aytuna
Editor: American Mathematical Soc.
ISBN: 0821844601
Size: 12,89 MB
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In recent years, the interplay between the methods of functional analysis and complex analysis has led to some remarkable results in a wide variety of topics. It turned out that the structure of spaces of holomorphic functions is fundamentally linked to certain invariants initially defined on abstract Frechet spaces as well as to the developments in pluripotential theory. The aim of this volume is to document some of the original contributions to this topic presented at a conference held at Sabanci University in Istanbul, in September 2007. This volume also contains some surveys that give an overview of the state of the art and initiate further research in the interplay between functional and complex analysis.

Recent Progress In General Topology Iii

Author: K.P. Hart
Editor: Springer Science & Business Media
ISBN: 946239024X
Size: 17,11 MB
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The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

Functional Analysis And Its Applications

Author: Vladimir Kadets
Editor: Elsevier
ISBN: 9780080472805
Size: 14,91 MB
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The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.

Note Di Matematica

Author: R. Marinosci
Size: 19,32 MB
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Classical Summation In Commutative And Noncommutative Lp Spaces

Author: Andreas Defant
Editor: Springer
ISBN: 3642204384
Size: 12,93 MB
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The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).

Progress In Functional Analysis

Author: K.D. Bierstedt
Editor: Elsevier
ISBN: 9780080872810
Size: 17,17 MB
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This volume includes a collection of research articles in Functional Analysis, celebrating the occasion of Manuel Valdivia's sixtieth birthday. The papers included in the volume are based on the main lectures presented during the international functional analysis meeting held in Peñíscola (Valencia, Spain) in October 1990. During his career, Valdivia has made contributions to a wide variety of areas of Functional Analysis and his work has had a profound impact. A thorough appreciation of Valdivia's work is presented in J. Horváth's article. In honor of Valdivia's achievements, this volume presents more than twenty-five papers on topics related to his research (Banach spaces, operator ideals, tensor products, Fréchet, (DF) and (LF) spaces, distribution theory, infinite holomorphy etc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today's Functional Analysis and presents new results by leading specialists in the field.

Functional Analysis Surveys And Recent Results Iii

Author: K.-D. Bierstedt
Editor: Elsevier
ISBN: 9780080872018
Size: 17,38 MB
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This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics. Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis.

Introduction To Banach Spaces Analysis And Probability

Author: Daniel Li
Editor: Cambridge University Press
ISBN: 1107160510
Size: 17,76 MB
Format: PDF, Mobi
Read: 427

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.