Topics In Operator Theory
Download Topics In Operator Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Topics In Operator Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Topics in Operator Theory
Author: Ernst Hellinger
language: en
Publisher: Operator Theory: Advances and
Release Date: 1990
Some 20 papers discuss topics in operator theory and related fields, and the life and work of mathematician Hellinger (1883-1950), a pioneer of operator theory and modern analysis. Among the topics are the theory of Hankel and Toeplitz operators, contractions and shifts, operators acting in Krein spaces, and the borders of complex function theory. Of interest to pure and applied mathematicians and to historians of mathematics. No index. Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)
Topics in Operator Theory
Author: Carl M. Pearcy
language: en
Publisher: American Mathematical Soc.
Release Date: 1974-12-31
Deals with various aspects of the theory of bounded linear operators on Hilbert space. This book offers information on weighted shift operators with scalar weights.
An Introduction to Models and Decompositions in Operator Theory
Author: Carlos S. Kubrusly
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbert-space operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finite-dimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbert-space operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbert-space operators. This book contains nine chapters.