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book (8)


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1979 (8)

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Theory of operator algebras
Author:
ISBN: 0387903917 3540903917 354042914X 3540429131 3642076882 3662104539 3642076890 3662104512 1461261902 1461261880 9783540429142 9783540429135 9780387903910 Year: 1979 Publisher: Berlin

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Abstract

to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. A factor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, II and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functions on a compact space - its spectrum. Since then the subject of operator algebras has evolved into a huge mathematical endeavour interacting with almost every branch of mathematics and several areas of theoretical physics.


Book
C*-algebras and their automorphism groups
Author:
ISBN: 0125494505 9780125494502 Year: 1979 Volume: 14 Publisher: London Academic Press


Book
Lectures on von Neumann algebras
Authors: ---
ISBN: 0856261092 9780856261091 Year: 1979 Publisher: Bucuresti Academiei


Book
Operator algebras and quantum statistical mechanics
Authors: ---
ISBN: 0387103813 0387091874 3540091874 3662023156 366202313X 9780387103815 9780387091877 Year: 1979 Publisher: New York, N.Y. Springer-Verlag


Book
Natural function algebras
Author:
ISBN: 0387904492 3540904492 1461380707 9780387904498 Year: 1979 Publisher: New York

Algèbres d'opérateurs: séminaire sur les algèbres d'opérateurs, Les Plans-sur-Bex, Suisse, 13-18 mars 1978
Author:
ISBN: 0387095128 9786611953737 1281953733 0387095136 3540095136 3540351612 3540095128 3540351620 9783540095132 Year: 1979 Volume: 726 Publisher: Berlin

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Abstract

Comets have fascinated and awed humankind since ancient times. Of the thousands of comets recorded throughout history, those deemed to have been the most spectacular have been described in the accounts of eyewitnesses and often recorded in official documents. This book introduces you to the greatest of the greats, starting with the comet in 372 B. C. called "Aristotle’s Comet" and ending with the spectacular appearance of McNaught’s Comet in 2007. There is an introductory chapter explaining what comets are and how they are classified, and correcting a few popular misconceptions. Later in the book you will read about the different returns of Halley’s Comet and the Kreutz sungrazing group, often called the kamikaze comets. There is even a chapter on comets that were visible in broad daylight. This book is unique. There are a few books on comets that make passing reference to some of the more famous or spectacular objects of the past, and a few catalogs with long lists of comets. But little detailed and descriptive information is contained in either of these sources. This is a fascinating account, not only for astronomers at every level but also for readers of popular science. In an engaging way it pulls together a vast amount of information and offers rich anecdotal material that will entertain as well as inform you.

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