Strict Topologies for Vector-Valued Functions
1974 ◽
Vol 26
(4)
◽
pp. 841-853
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Keyword(s):
This paper is motivated by work in two fields, the theory of strict topologies and topological measure theory. In [1], R. C. Buck began the study of the strict topology for the algebra C*(S) of continuous, bounded real-valued functions on a locally compact Hausdorff space S and showed that the topological vector space C*(S) with the strict topology has many of the same topological vector space properties as C0(S), the sup norm algebra of continuous realvalued functions vanishing at infinity. Buck showed that as a class, the algebras C*(S) for S locally compact and C*(X), for X compact, were very much alike. Many papers on the strict topology for C*(S), where S is locally compact, followed Buck's; e.g., see [2; 3].
1979 ◽
Vol 22
(1)
◽
pp. 35-41
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Keyword(s):
1981 ◽
Vol 24
(1)
◽
pp. 69-77
Keyword(s):
1986 ◽
Vol 10
(1)
◽
pp. 73-77
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2017 ◽
Vol 97
(1)
◽
pp. 110-118
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2013 ◽
Vol 176
◽
pp. 23-41
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Keyword(s):
1978 ◽
Vol 30
(02)
◽
pp. 262-288
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1984 ◽
Vol 99
(1-2)
◽
pp. 137-143
2013 ◽
Vol 160
(7)
◽
pp. 887-895
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