On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups
Keyword(s):
Let be a locally compact group with a fixed left Haar measure and be a system of weights on . In this paper, we deal with locally convex space equipped with the locally convex topology generated by the family of norms . We study various algebraic and topological properties of the locally convex space . In particular, we characterize its dual space and show that it is a semireflexive space. Finally, we give some conditions under which with the convolution multiplication is a topological algebra and then characterize its closed ideals and its spectrum.
2013 ◽
Vol 87
(3)
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pp. 353-365
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1978 ◽
Vol 21
(2)
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pp. 167-173
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1979 ◽
Vol 22
(1)
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pp. 35-41
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2016 ◽
Vol 23
(2)
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pp. 191-201
1977 ◽
Vol 29
(1)
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pp. 216-219
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2014 ◽
Vol 90
(3)
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pp. 486-493
1977 ◽
Vol 82
(1)
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pp. 67-83
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