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Rings Of Operators

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Rings Of Operators

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Author : John Von Neumann
language : en
Publisher:
Release Date : 1961

Rings Of Operators written by John Von Neumann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Mathematics categories.

Rings Of Operators

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Author : Irving Kaplansky
language : en
Publisher:
Release Date : 1955

Rings Of Operators written by Irving Kaplansky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Algebraic fields categories.

Theory Of Operator Algebras I

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Author : Masamichi Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Theory Of Operator Algebras I written by Masamichi Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Rings Of Differential Operators

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Author : Jan-Erik Björk
language : en
Publisher: North-Holland
Release Date : 1979

Rings Of Differential Operators written by Jan-Erik Björk and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

Rings Of Operators

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Author : Irving Kaplansky
language : en
Publisher:
Release Date : 1955

Rings As Groups With Operators

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Author : Cornelius Joseph Everett
language : en
Publisher:
Release Date : 1940

Rings As Groups With Operators written by Cornelius Joseph Everett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1940 with Rings (Algebra) categories.

Baer Rings

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Author : Sterling K. Berberian
language : en
Publisher: Springer Science & Business Media
Release Date : 1972-07-14

Baer Rings written by Sterling K. Berberian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-07-14 with Mathematics categories.

A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic foundations of von Neumann algebras. Equivalence of projections, decompositio into types; connections with AW*-algebras, *-regular rings, continuous geometries. Special topics include the theory of finite Baer *-rings (dimension theory, reduction theory, embedding in *-regular rings) and matrix rings over Baer *-rings. Written to be used as a textbook as well as a reference, the book includes more than 400 exercises, accompanied by notes, hints, and references to the literature. Errata and comments from the author have been added at the end of the present reprint (2nd printing 2010). From the reviews: A.C. Mewborn 1972 in Zentralblatt für Mathematik, 242.Band, p. 97: "This book is a systematic exposition of Baer*-rings, i.e. rings with involution in which every annihilator one-sided ideal is generated by a projection. In some respects it is an extension of I. Kaplansky’s book “Rings of operators” [...]. The study of Baer*-rings is motivated primarily by certain kinds of algebras of linear operators on a Hilbert space and by certain aspects of lattice theory. This book has some of the flavor of both of these but the treatment is almost entirely algebraic. Motivating examples from operator algebras are used extensively. The book is divided into three parts. The first part is a general discussion of *-rings with various conditions on the partially ordered set of projections. The second part is devoted to the structure of Baer *-rings, including the decomposition into types (Types I, II, III, and finite and infinite). Part III occupies about one half of the book and is devoted to the study of finite Baer*-rings (x*x=1 implies x x* = 1). Chapter 6 introduces the notion of a dimension function and shows that every finite Baer *-ring satisfying a generalized comparability condition for projections has a unique dimension function. Chapter 7 contains a representation of a finite Baer *-ring as a subdirect product of finite Baer *-factors. The last two chapters are devoted to the construction of a 'regular hull' of a finite Baer *-ring satisfying certain conditions and to the study of matrix rings over Baer *-rings. This book is well-written and suitable for use both as a text and as a reference on the subject of Baer *-rings. It contains a large number of excellent exercises and problems of varying degrees of difficulty, including a number of open problems."

Rings Of Differential Operators On Classical Rings Of Invariants

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Author : Thierry Levasseur
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Rings Of Differential Operators On Classical Rings Of Invariants written by Thierry Levasseur and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

"September 1989, Volume 81, number 412 (third of 6 numbers)."

Rings Of Operators

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Author : John Von Neumann
language : en
Publisher:
Release Date : 1961

Tulane University Ring And Operator Theory Year 1970 1971

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Author : Karl H. Hofmann
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1972-02-28

Tulane University Ring And Operator Theory Year 1970 1971 written by Karl H. Hofmann and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-02-28 with Mathematics categories.

From September 1970 through May 1971 Tulane University organized a special year long program in the theory of noncommutative rings and operator algebras. Visitors from various institutions of the U.S.A. and abroad contributed to a series of lectures in which they covered recent advances in their own field of specialty. These notes contain these lectures to the extent that they have not appeared elsewhere. This volume presents the lectures on operator algebras, applications to the theory of operators on Hilbert space, and harmonic analysis.

Rings Of Operators

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