Fundamentals of the Theory of Operator Algebras : Advanced Theory

Kadison, Richard V.; Ringrose, John R.

ISBN 10: 0821808206 / ISBN 13: 9780821808207

Verlag: American Mathematical Society, 1997

Bestandsnummer des Verkäufers 6020771-n

Inhaltsangabe:

This work and ""Fundamentals of the Theory of Operator Algebras, Volume I, Elementary Theory"" present an introduction to functional analysis and the initial fundamentals of $C^*$- and von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide a clear account of the introductory portions of this important and technically difficult subject. Major concepts are sometimes presented from several points of view; the account is leisurely when brevity would compromise clarity. An unusual feature in a text at this level is the extent to which it is self-contained; for example, it introduces all the elementary functional analysis needed. The emphasis is on teaching. Well supplied with exercises, the text assumes only basic measure theory and topology.The book presents the possibility for the design of numerous courses aimed at different audiences. '...these two volumes represent a magnificent achievement. They will be an essential item on every operator algebraist's bookshelves and will surely become the primary source of instruction for research students in von Neumann algebra theory' - ""Bulletin of the London Mathematical Society"". 'Volumes I and II were published in 1982 and 1983. Since then they have quickly established themselves as The Textbooks in operator algebra theory' - ""Bulletin of the American Mathematical Society"". 'One of the splendid features of the original two volumes is their large supply of exercises...which illustrate the results of the text and expand its scope' - ""L'Enseignement Mathematique"".

Reseña del editor: This two-volume work presents an introduction to functional analysis and the initial fundamentals of C]* - and Von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors provide a clear account of the introductory portions of this important and technically difficult subject. Well supplied with exercises, the text assumes only basic measure theory and topology. The books present the possibility for the design of numerous courses aimed at different audiences.

Bibliografische Details

Titel: Fundamentals of the Theory of Operator ...
Verlag: American Mathematical Society
Erscheinungsdatum: 1997
Einband: Hardcover
Zustand: New