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- W817202493 abstract "We extend some of the results of the theory of 3>and JT-spaces due to J. J. Schaffer to function spaces on a locally compact Hausdorff topological group G. The class 3 consists of non-zero translation-invariant solid normed spaces that are stronger than L, the space of (equivalence classes of) measurable functions that are integrable on compact subsets of G, with the topology of convergence in the mean on every compact subset. We introduce and study some spaces in <T, in particular M,^,T. Our main results concern the quasi local closedness and local closedness of T. We also give a generalization of some results about associate spaces and duality between M and T. The results may be extended to normed spaces of functions with values in a Banach space." @default.
- W817202493 created "2016-06-24" @default.
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- W817202493 date "1971-01-01" @default.
- W817202493 modified "2023-09-27" @default.
- W817202493 title "Some translation-invariant spaces of functions on topological groups" @default.
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