Research Article

Integral operators for nonlocally compact group modules

Published in: Quaestiones Mathematicae
Volume 45 , issue 7 , 2022 , pages: 1125–1144

DOI: 10.2989/16073606.2021.1929536

Author(s): Sergey Victor Ludkowski , Russian Federation

Keywords: 26D15 , 26E20 , 28A25 , 28B05 , 44A35 , 43A15 , 47A56 , 26D15 , 26E20 , 28A25 , 28B05 , 44A35 , 43A15 , 47A56

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Abstract

The article is devoted to integral operators for nonlocally compact group modules. Operator valued functions for nonlocally compact groups and their normed spaces of diﬀerent types are investigated. For this purpose quasi-invariant measures on nonlocally compact groups are used. Estimates of norms of integral operators are given. Moreover, convolutions of functions having operator values and values in Banach spaces are scrutinized. Examples are given.

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