عنوان

Introduction to the Theory of Banach Representations of Groups

شابک

9783034891691

شابک

9783764322076

شماره

b407998

عنوان اصلي

Introduction to the Theory of Banach Representations of Groups

نام عام مواد

[Book]

نام نخستين پديدآور

by Yurii I. Lyubich.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Birkhäuser Basel,

تاریخ نشرو بخش و غیره

1988.

عنوان فروست

Operator Theory: Advances and Applications ;

مشخصه جلد

30

متن يادداشت

1 - Elements of Spectral Theory -- 1. Integration of vector-valued functions -- 2. Linear operators in Banach space -- 3. Spectrum and resolvent of linear operators -- 4. Invariant subspaces -- 5. Commutative Banach algebras -- 2 - Topological Groups and Semigroups -- 1. Topological groups -- 2. Topological semigroups -- 3. Invariant measures and means -- 3 - Elements of General Representation Theory -- 1. Actions and representations -- 2. Decomposition of representations -- 3. Finite dimensional representations -- 4. The representation spectrum of an Abelian semigroup -- 4 - Representations of Compact Semigroups -- 1. Harmonic analysis on compact groups -- 2. Banach representations of compact groups and semigroups -- 3. Almost periodic representations and functions -- 4. Nonnegative a.p. representations -- 5 - Representations of Locally Compact Abelian Groups -- 1. Elements of harmonic analysis -- 2. Representations with separable spectrum -- References -- Books -- Journal Articles.

بدون عنوان

0

متن يادداشت

The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences. In the compulsory university curriculum it is included as a branch of algebra, dealing with representations of finite groups (see, for example, the textbook of A. I. Kostrikin [25]). The representation theory for compact, locally compact Abelian, and Lie groups is co vered in graduate courses, concentrated around functional analysis. The author of the present boo~ has lectured for many years on functional analysis at Khar'kov University. He subsequently con tinued these lectures in the form of a graduate course on the theory of group representations, in which special attention was devoted to a retrospective exposition of operator theory and harmo nic analysis of functions from the standpoint of representation theory. In this approach it was natural to consider not only uni tary, but also Banach representations, and not only representations of groups, but also of semigroups.

شماره استاندارد بين المللي کتاب و موسيقي

9783764322076

عنوان

Springer eBooks

موضوع مستند نشده

Science (General).

مستند نام اشخاص تاييد نشده

Lyubich, Yurii I.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307154600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y