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Author : Krzysztof Jarosz
Publisher : Springer
Page : 123 pages
File Size : 51,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540393702
Author : Krzysztof Jarosz
Publisher : Unknown
Page : 116 pages
File Size : 51,8 Mb
Release : 1985
Category : Banach algebras
ISBN : 0387152180
Author : Yifeng Xue
Publisher : World Scientific
Page : 305 pages
File Size : 49,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814383608
This book provides a broad introduction to the generalized inverses, MooreOCoPenrose inverses, Drazin inverses and TOCoS outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional. This subject has many applications in operator theory, operator algebras, global analysis and approximation theory and so on. Stable Perturbations of Operators and Related Topics is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students. It is also suitable for researchers as a reference. The proofs of statements and explanations in the book are detailed enough that interested readers can study it by themselves."
Author : Terry A. Loring
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 53,5 Mb
Release : 1997
Category : C*-algebras
ISBN : 9780821806029
The nature of C]*-algebras is such that one cannot study perturbation without also studying the theory of lifting and the theory of extenstions. Approximation questions involving representations of relations in matrices and C]*-algebras are the central focus of this volume. A variety of approximation techniques are unified by translating them into lifting problems: from classical questions about transivity of algebras of operators on Hilbert spaces to recent results in linear algebra. One chapter is devoted to Lin's theorem on approximating almost normal matrices by normal matrices. The techniques of universal algebra are applied to the category of C]*-algebras. An important difference, central to this book, is that one can consider approximate representations of relations and approximately commuting diagrams. Moreover, the highly algebraic approach does not exclude applications to very geometric C]*-algebras. K theory is avoided, but universal properties and stability properties of specific C]*-algebras that have applications to K-theory are considered. Index theory arises naturally, and very concretely, as an obstruction to stability for almost commuting matrices. Multiplier algebras are studied in detail, both in the setting of rings and of C]*-algebras. Recent results about extensions of C]*-algebras are discussed, including a result linking amalgamated products with the Busby/Hochshild theory.
Author : Juan Carlos Navarro Pascual,El Amín Kaidi
Publisher : World Scientific
Page : 320 pages
File Size : 41,5 Mb
Release : 2016-06-24
Category : Mathematics
ISBN : 9789814699709
This volume contains recent papers by several specialists in different fields of mathematical analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures in functional analysis and summability in locally convex spaces. Those interested in researching any areas of mathematical analysis will find here numerous suggestions on possible topics with an important impact today. Often, the contributions are presented in an expository nature and this makes the discussed topics accessible to a more general audience. Contents:Measurability and Semi-Continuity of Multifunctions (B Cascales)Introduction to Interpolation Theory (F Cobos)Optimality of Function Spaces in Sobolev Embeddings (L Pick)Derivations and Projections on Jordan Triples: An introduction to Nonassociative Algebra, Continuous Cohomology, and Quantum Functional Analysis (B Russo)Weighted Inequalities and Extrapolation (J Duoandikoetxea)A Note on the Off-Diagonal Muckenhoupt–Wheeden Conjecture (D Cruz-Uribe, J M Martell and C Pérez)On the Interplay Between Nonlinear Partial Differential Equations and Game Theory (J D Rossi)The Radon–Nikodým Theorem for Vector Measures and Integral Representation of Operators on Banach Function Spaces (E A Sánchez Pérez)The Orlicz–Pettis Theorem for Multiplier Convergent Series (C Swartz) Readership: Graduate students in mathematics and researchers in mathematical analysis.
Author : Yifeng Xue
Publisher : World Scientific
Page : 305 pages
File Size : 53,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814383592
This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directions and newest developments in this exciting and fast growing area. The covered topics range from Markov processes, backward stochastic differential equations, stochastic partial differential equations, stochastic control, potential theory, functional inequalities, optimal stopping, portfolio selection, to risk measure and risk theory. It will be a very useful book for young researchers who want to learn about the research directions in the area, as well as experienced researchers who want to know about the latest developments in the area of stochastic analysis and mathematical finance.
Author : Tosio Kato
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 53,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662126783
Author : Michiel Hazewinkel,Murray Gerstenhaber
Publisher : Springer Science & Business Media
Page : 1024 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400930575
This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).
Author : M. Hazewinkel
Publisher : Elsevier
Page : 896 pages
File Size : 42,8 Mb
Release : 2000-04-06
Category : Mathematics
ISBN : 0080532969
Handbook of Algebra
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 45,8 Mb
Release : 2007-11-23
Category : Mathematics
ISBN : 9780306483738
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Author : H. Baumgärtel
Publisher : Walter de Gruyter GmbH & Co KG
Page : 428 pages
File Size : 46,8 Mb
Release : 1984-12-31
Category : Mathematics
ISBN : 9783112721810
No detailed description available for "Analytic Perturbation Theory for Matrices and Operators".
Author : Herbert Alexander,John Wermer
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 46,8 Mb
Release : 2008-01-17
Category : Mathematics
ISBN : 9780387225869
A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. This third edition contains new material on maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter commenting on history and recent developments, as well as an updated and expanded reading list.
Author : S.H. Kulkarni,B.V. Limaye
Publisher : CRC Press
Page : 204 pages
File Size : 47,5 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000148848
This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.
Author : Ronald Hagen,Steffen Roch,Bernd Silbermann
Publisher : CRC Press
Page : 388 pages
File Size : 48,9 Mb
Release : 2000-09-07
Category : Mathematics
ISBN : 0824704606
"Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."
Author : Harold G. Dales,Anthony To-Ming Lau,Dona Strauss
Publisher : American Mathematical Soc.
Page : 178 pages
File Size : 46,9 Mb
Release : 2010
Category : Banach algebras
ISBN : 9780821847756
"Volume 205, number 966 (end of volume)."