Modules maps and Invariant subsets of Banach modules of locally compact groups
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Date
2013-03-13
Authors
Hamouda, Hawa
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Abstract
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].
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Keywords
module maps, invariant subsets, locally compact groups modules maps, amenable actions, non-Banach algebra, Reiter's condition, homomorphisms, predual, W*-algebras, Banach modules