Spectral Mapping Theorems For Subnormal Operators PDF Download
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Author | : James Joseph Dudziak |
Publisher | : |
Total Pages | : 204 |
Release | : 1981 |
Genre | : Subnormal operators |
ISBN | : |
Download Spectral Mapping Theorems for Subnormal Operators Book in PDF, ePub and Kindle
Author | : John B. Conway |
Publisher | : American Mathematical Soc. |
Total Pages | : 454 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 0821815369 |
Download The Theory of Subnormal Operators Book in PDF, ePub and Kindle
"In a certain sense, subnormal operators were introduced too soon because the theory of function algebras and rational approximation was also in its infancy and could not be properly used to examine the class of operators. The progress in the last several years grew out of applying the results of rational approximation." from the Preface. This book is the successor to the author's 1981 book on the same subject. In addition to reflecting the great strides in the development of subnormal operator theory since the first book, the present work is oriented towards rational functions rather than polynomials. Although the book is a research monograph, it has many of the traits of a textbook including exercises. The book requires background in function theory and functional analysis, but is otherwise fairly self-contained. The first few chapters cover the basics about subnormal operator theory and present a study of analytic functions on the unit disk. Other topics included are: some results on hypernormal operators, an exposition of rational approximation interspersed with applications to operator theory, a study of weak-star rational approximation, a set of results that can be termed structure theorems for subnormal operators, and a proof that analytic bounded point evaluations exist.
Author | : Robin Harte |
Publisher | : Springer |
Total Pages | : 132 |
Release | : 2014-04-29 |
Genre | : Mathematics |
ISBN | : 3319056484 |
Download Spectral Mapping Theorems Book in PDF, ePub and Kindle
Written by an author who was at the forefront of developments in multi-variable spectral theory during the seventies and the eighties, this guide sets out to describe in detail the spectral mapping theorem in one, several and many variables. The basic algebraic systems – semigroups, rings and linear algebras – are summarised, and then topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis. Spectral Mapping Theorems is written in an easy-to-read and engaging manner and will be useful for both the beginner and expert. It will be of great importance to researchers and postgraduates studying spectral theory.
Author | : Ion Colojoara |
Publisher | : CRC Press |
Total Pages | : 254 |
Release | : 1968 |
Genre | : Mathematics |
ISBN | : 9780677014807 |
Download Theory of Generalized Spectral Operators Book in PDF, ePub and Kindle
Author | : Thomas L. Miller |
Publisher | : American Mathematical Soc. |
Total Pages | : 137 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 0821824155 |
Download Subnormal Operators and Representations of Algebras of Bounded Analytic Functions and Other Uniform Algebras Book in PDF, ePub and Kindle
The present memoir lies between operator theory and function theory of one complex variable. Motivated by refinements of the analytic functional calculus of a subnormal operator, the authors are rapidly directed towards difficult problems of hard analysis. Quite specifically, the basic objects to be investigated in this paper are the unital (continuous) algebra homomorphisms [lowercase Greek]Pi : [italic]H[exponent infinity symbol]([italic]G) [rightwards arrow] [italic]L([italic]H), with the additional property that [lowercase Greek]Pi([italic]z) is a subnormal operator.
Author | : Bernard B. Morrel |
Publisher | : |
Total Pages | : 284 |
Release | : 1988 |
Genre | : Operator theory |
ISBN | : |
Download Surveys of Some Recent Results in Operator Theory Book in PDF, ePub and Kindle
Based on series of lectures given at Indiana University as part of Special Year in Operator Theory held there during the 1985-86 academic year.
Author | : John B. Conway |
Publisher | : American Mathematical Soc. |
Total Pages | : 73 |
Release | : 1977 |
Genre | : Functional analysis |
ISBN | : 0821821849 |
Download A Functional Calculus for Subnormal Operators II Book in PDF, ePub and Kindle
Let S be a subnormal operator on a Hilbert space [script]H with minimal normal extension [italic]N operating on [italic]K, and let [lowercase Greek]Mu be a scalar valued spectral measure for [italic]N. If [italic]P[infinity symbol]([lowercase Greek]Mu) denotes the weak star closure of the polynomials in [italic]L[infinity symbol]([lowercase Greek]Mu) = [italic]L1[infinity symbol]([lowercase Greek]Mu) then for [script]f in [italic]P[infinity symbol]([lowercase Greek]Mu) it follows that [script]f([italic]N) leaves [script]H invariant; if [script]f([italic]S) is defined as the restriction of [script]f([italic]N) to [script]H then a functional calculus for [italic]S is obtained. This functional calculus is investigated in this paper.
Author | : Henry R. Dowson |
Publisher | : |
Total Pages | : 444 |
Release | : 1978 |
Genre | : Banach spaces |
ISBN | : |
Download Spectral Theory of Linear Operators Book in PDF, ePub and Kindle
General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.
Author | : K. B. Laursen |
Publisher | : Oxford University Press |
Total Pages | : 610 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780198523819 |
Download An Introduction to Local Spectral Theory Book in PDF, ePub and Kindle
Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.
Author | : Daoxing Xia |
Publisher | : Birkhäuser |
Total Pages | : 264 |
Release | : 1983 |
Genre | : Juvenile Nonfiction |
ISBN | : |
Download Spectral Theory of Hyponormal Operators Book in PDF, ePub and Kindle
Spectral analysis of linear operators has always been one of the more active and important fields of operator theory, and of extensive interest to many operator theorists. Its devel opments usually are closely related to certain important problems in contemporary mathematics and physics. In the last 20 years, many new theories and interesting results have been discovered. Now, in this direction, the fields are perhaps wider and deeper than ever. This book is devoted to the study of hyponormal and semi-hyponormal operators. The main results we shall present are those of the author and his collaborators and colleagues, as well as some concerning related topics. To some extent, hyponormal and semi-hyponormal opera tors are "close" to normal ones. Although those two classes of operators contain normal operators as a subclass, what we are interested in are, naturally, nonnormal operators in those classes. With the well-studied normal operators in hand, we cer tainly wish to know the properties of hyponormal and semi-hypo normal operators which resemble those of normal operators. But more important than that, the investigations should be concen trated on the phenomena which only occur in the nonnormal cases.