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| Author | : William Arveson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 108 |
| Release | : 1984 |
| Genre | : Mathematics |
| ISBN | : 9780821889008 |
This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
| Author | : B. V. Rajarama Bhat |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 337 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821808214 |
This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of C*-algebras and von Neumann algebras, together with recent work on the classification of C*-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.
| Author | : Karl Heinrich Hofmann |
| Publisher | : Springer |
| Total Pages | : 814 |
| Release | : 1972 |
| Genre | : Algebras, Linear |
| ISBN | : |
| Author | : Karl H. Hofmann |
| Publisher | : Springer |
| Total Pages | : 793 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540371176 |
| Author | : Hari Bercovici |
| Publisher | : CRC Press |
| Total Pages | : 167 |
| Release | : 2017-08-07 |
| Genre | : Mathematics |
| ISBN | : 1317974611 |
This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.
| Author | : Serban Stratila |
| Publisher | : Routledge |
| Total Pages | : 486 |
| Release | : 1979 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Kehe Zhu |
| Publisher | : CRC Press |
| Total Pages | : 172 |
| Release | : 1993-05-27 |
| Genre | : Mathematics |
| ISBN | : 9780849378751 |
An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
| Author | : Maria Amélia Bastos |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 443 |
| Release | : 2008-05-27 |
| Genre | : Mathematics |
| ISBN | : 3764386843 |
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.
| Author | : Atsushi Inoue |
| Publisher | : Springer Nature |
| Total Pages | : 197 |
| Release | : 2021-03-01 |
| Genre | : Mathematics |
| ISBN | : 3030688933 |
This book is devoted to the study of Tomita's observable algebras, their structure and applications. It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex*-algebras that this theory includes Tomita–Takesaki theory as a special case; every observable algebra can be regarded as an operator algebra on a Pontryagin space with codimension 1. All of the results are proved in detail and the basic theory of operator algebras on Hilbert space is summarized in an appendix. The theory of CT*-algebras has connections with many other branches of functional analysis and with quantum mechanics. The aim of this book is to make Tomita’s theory available to a wider audience, with the hope that it will be used by operator algebraists and researchers in these related fields.
