Modules maps and invariant subsets of Banach modules of locally compact groups.

摘要

For a locally compact group G, the papers [13] and [7] have many results about G-invariant subsets of G -modules, and the relationship between G-module maps, L1(G)-module maps and M(G)-module maps. In both papers, the results were given for one specific module action. In this thesis we extended many of their results to arbitrary Banach G-modules. In addition, we give detailed proofs of most of the results found in the first section of the paper [21].