عنوان

Local Multipliers of C*-Algebras

شابک

9781447100454

شابک

9781447110682

شماره

dltt

عنوان اصلي

Local Multipliers of C*-Algebras

نام عام مواد

[Book]

نام نخستين پديدآور

by Pere Ara, Martin Mathieu.

محل نشرو پخش و غیره

London :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2003.

عنوان فروست

Springer Monographs in Mathematics,

شاپا ي ISSN فروست

1439-7382

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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).

شماره استاندارد بين المللي کتاب و موسيقي

9781447110682

عنوان

Springer eBooks

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Operator theory.

مستند نام اشخاص تاييد نشده

Ara, Pere.

مستند نام اشخاص تاييد نشده

Mathieu, Martin.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307155100.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y