Integral operators in the theory of induced Banach representation II. The bundle approach

I. E. Schochetman

International Journal of Mathematics and Mathematical Sciences, 1981, vol. 4, 1-16

Abstract:

Let G be a locally compact group, H a closed subgroup and L a Banach representation of H . Suppose U is a Banach representation of G which is induced by L . Here, we continue our program of showing that certain operators of the integrated form of U can be written as integral operators with continuous kernels. Specifically, we show that: (1) the representation space of a Banach bundle; (2) the above operators become integral operators on this space with kernels which are continuous cross-sections of an associated kernel bundle.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:402924

DOI: 10.1155/S016117128100046X

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