Author: Publisher:
ISBN:
Category : Securities
Languages : en
Pages : 264
Book Description
Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935
Author: Spectral Theory of Linear Operators
Author: Vladimir MüllerPublisher: Springer Science & Business Media
ISBN: 3764382651
Category : Mathematics
Languages : en
Pages : 444
Book Description
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
C*-Algebras and Operator Theory
Author: Gerald J. MurphyPublisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 297
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.
Banach Algebra Techniques in the Theory of Toeplitz Operators
Author: Ronald G. DouglasPublisher: American Mathematical Soc.
ISBN: 9780821888643
Category : Mathematics
Languages : en
Pages : 66
Book Description
Introduction to Banach Algebras, Operators, and Harmonic Analysis
Author: H. Garth DalesPublisher: Cambridge University Press
ISBN: 9780521535847
Category : Mathematics
Languages : en
Pages : 338
Book Description
Table of contents
Theory of Operator Algebras I
Author: Masamichi TakesakiPublisher: Springer Science & Business Media
ISBN: 1461261880
Category : Mathematics
Languages : en
Pages : 424
Book Description
Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians.
A Course in Commutative Banach Algebras
Author: Eberhard KaniuthPublisher: Springer Science & Business Media
ISBN: 0387724761
Category : Mathematics
Languages : en
Pages : 362
Book Description
Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms,there arethree types ofthem:algebrasofboundedlinear operators on Banach spaces with composition and the operator norm, al- bras consisting of bounded continuous functions on topological spaces with pointwise product and the uniform norm, and algebrasof integrable functions on locally compact groups with convolution as multiplication. These all play a key role in modern analysis. Much of operator theory is best approached from a Banach algebra point of view and many questions in complex analysis (such as approximation by polynomials or rational functions in speci?c - mains) are best understood within the framework of Banach algebras. Also, the study of a locally compact Abelian group is closely related to the study 1 of the group algebra L (G). There exist a rich literature and excellent texts on each single class of Banach algebras, notably on uniform algebras and on operator algebras. This work is intended as a textbook which provides a thorough introduction to the theory of commutative Banach algebras and stresses the applications to commutative harmonic analysis while also touching on uniform algebras. In this sense and purpose the book resembles Larsen’s classical text [75] which shares many themes and has been a valuable resource. However, for advanced graduate students and researchers I have covered several topics which have not been published in books before, including some journal articles.
Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras
Author: Vladimir MüllerPublisher: Birkhäuser
ISBN: 3034877889
Category : Mathematics
Languages : en
Pages : 390
Book Description
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Banach algebra techniques in operator theory
Author: R. G. DouglasFundamentals of the Theory of Operator Algebras. Volume I
Author: Richard V. KadisonPublisher: American Mathematical Soc.
ISBN: 0821808192
Category : Mathematics
Languages : en
Pages : 416
Book Description
The first volume of a two-volume text for an intermediate graduate course or for self-study for students familiar with basic measure theory and topology. Volume one covers linear spaces, Hilbert space and linear operators, Banach algebras, C*- algebra theory, and von Neumann algebra theory. The volumes are numbered consecutively but indexed separately. Volume one was originally published by Academic Press in 1983. Annotation copyrighted by Book News, Inc., Portland, OR