Introduction to the Theory of Banach Representations of by Yurii I. Lyubich

By Yurii I. Lyubich

The thought of workforce representations performs a massive roie in glossy arithmetic and its applica~ions to traditional sciences. within the obligatory college curriculum it's incorporated as a department of algebra, facing representations of finite teams (see, for instance, the textbook of A. I. Kostrikin [25]). The illustration conception for compact, in the neighborhood compact Abelian, and Lie teams is co­ vered in graduate classes, focused round sensible research. the writer of the current boo~ has lectured for a few years on useful research at Khar'kov collage. He therefore con­ tinued those lectures within the kind of a graduate direction at the idea of team representations, within which specific realization used to be dedicated to a retrospective exposition of operator conception and harmo­ nic research of capabilities from the perspective of illustration thought. during this procedure it used to be normal to contemplate not just uni­ tary, but additionally Banach representations, and never merely representations of teams, but in addition of semigroups.

Show description