LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512
Title	Local Multipliers of C*-Algebras ([EBook] /) / by Pere Ara, Martin Mathieu.
Author	Ara, Pere
Added Personal Name	Mathieu, Martin author.
Other name(s)	SpringerLink (Online service)
Publication	London : : Springer London : : Imprint: Springer, , 2003.
Physical Details	XII, 319 p. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9781447100454
Summary Note	Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A).:
Contents note	1. Prerequisites -- 2. The Symmetric Algebra of Quotients and its Bounded Analogue -- 3. The Centre of the Local Multiplier Algebra -- 4. Automorphisms and Derivations -- 5. Elementary Operators and Completely Bounded Mappings -- 6. Lie Mappings and Related Operators -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4471-0045-4
Links to Related Works	Subject References: Algebra . Functional Analysis . Mathematics . Operator Theory . Authors: Ara, Pere . Mathieu, Martin . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 512 .

Catalogue Display

Local Multipliers of C*-Algebras

Reviews