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Author : Sten G. Kaijser,Joan w. Pelletier
Publisher : Springer
Page : 172 pages
File Size : 55,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540470441
Author : Sten G. Kaijser,Joan w. Pelletier
Publisher : Unknown
Page : 176 pages
File Size : 43,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662173913
Author : Sten Kaijser
Publisher : Unknown
Page : 306 pages
File Size : 53,5 Mb
Release : 1986
Category : Functor theory
ISBN : 0387167900
Author : Anonim
Publisher : Elsevier
Page : 717 pages
File Size : 48,5 Mb
Release : 1991-03-18
Category : Mathematics
ISBN : 0080887104
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications.
Author : Michael Cwikel,Laura De Carli,Mario Milman
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 51,5 Mb
Release : 2007
Category : Interpolation
ISBN : 9780821842072
This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful.
Author : American Mathematical Society. Meeting,John Walker Gray
Publisher : American Mathematical Soc.
Page : 318 pages
File Size : 45,7 Mb
Release : 1984
Category : Mathematics
ISBN : 9780821850329
Contains the proceedings of the AMS Summer Research Conference on Axiomatic Set Theory, held in Boulder, Colorado, June 19-25, 1983. This work covers the various areas of set theory, including constructibility, forcing, combinatorics and descriptive set theory.
Author : Kalle Åström,Lars-Erik Persson,Sergei D. Silvestrov
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 40,6 Mb
Release : 2012-01-05
Category : Mathematics
ISBN : 9783642202360
This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative, Analysis, Non-commutative Geometry and Applications INANGA08, held at the Centre for Mathematical Sciences, Lund University in May and November of 2008. The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications in engineering and technology, mathematics and engineering education, as well as interdisciplinary, industrial and international cooperation. This book presents new advances in several areas of mathematics and engineering mathematics including applications in modern technology, engineering and life sciences. Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions and problems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical account and important aspects of engineering mathematics research and education, and the implementation of the highly successful education programme in Engineering Mathematics at Lund Institute of Technology, where not only the mathematical sciences have played a role. This book will serve as a source of inspiration for a broad spectrum of researchers and research students.
Author : K. H. Kamps,D. Pumplün,W. Tholen
Publisher : Springer
Page : 341 pages
File Size : 51,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540395508
Author : Ju.A Brudnyj,N.Ja Krugljak
Publisher : Unknown
Page : 128 pages
File Size : 40,5 Mb
Release : 1991
Category : Electronic
ISBN : OCLC:715222470
Author : Robert R. Phelps
Publisher : Springer
Page : 125 pages
File Size : 42,6 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9783662215692
These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with the Radon-Nikodym property. While much of this is classical, some of it is presented using streamlined proofs which were not available until recently. Considerable attention is paid to contemporary results on variational principles and perturbed optimization in Banach spaces, exhibiting their close connections with Asplund spaces. An introductory course in functional analysis is adequate background for reading these notes which can serve as the basis for a seminar of a one-term graduate course. There are numerous excercises, many of which form an integral part of the exposition.
Author : Jan van Neerven
Publisher : Springer
Page : 204 pages
File Size : 47,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540474975
This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.
Author : Yoshihiro Sawano,Giuseppe Di Fazio,Denny Ivanal Hakim
Publisher : CRC Press
Page : 429 pages
File Size : 45,5 Mb
Release : 2020-09-16
Category : Mathematics
ISBN : 9781000064056
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
Author : Michael Cwikel,Mario Milman,Richard Rochberg
Publisher : Unknown
Page : 316 pages
File Size : 43,5 Mb
Release : 1992
Category : Interpolation
ISBN : STANFORD:36105008528569
Author : Marian Deaconescu
Publisher : CRC Press
Page : 184 pages
File Size : 44,6 Mb
Release : 1986
Category : Mathematics
ISBN : 3718603039
Author : Herbert Amann
Publisher : Springer Science & Business Media
Page : 688 pages
File Size : 40,6 Mb
Release : 1995-03-27
Category : Language Arts & Disciplines
ISBN : 3764351144
This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hölder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.