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Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 1114
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1114
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Book Description
Author: P. A. Fillmore
Publisher: Springer
ISBN: 3540378081
Category : Mathematics
Languages : en
Pages : 238
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Book Description
Author:
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ISBN:
Category : Operator theory
Languages : en
Pages : 542
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Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 542
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Book Description
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 532
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Author:
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ISBN:
Category : Functional analysis
Languages : en
Pages : 524
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Book Description
Author: John B. Conway
Publisher: American Mathematical Soc.
ISBN: 0821815369
Category : Mathematics
Languages : en
Pages : 454
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Book Description
"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:
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Category : Science
Languages : en
Pages : 506
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Category : Harmonic analysis
Languages : en
Pages : 584
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Book Description
Author: Albrecht Böttcher
Publisher: American Mathematical Soc.
ISBN: 082180457X
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavour. A good example is the large and amorphous body of knowledge known as the theory of linear operators or operator theory, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of functional analysis, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc, as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in 1994.
