Strict Topology on Spaces of Continuous Vector-Valued Functions
1979 ◽
Vol 31
(4)
◽
pp. 890-896
◽
Keyword(s):
In this paper, X denotes a completely regular Hausdorff space, Cb(X) all real-valued bounded continuous functions on X, E a Hausforff locally convex space over reals R, Cb(X, E) all bounded continuous functions from X into E, Cb(X) ⴲ E the tensor product of Cb(X) and E. For locally convex spaces E and F, E ⴲ, F denotes the tensor product with the topology of uniform convergence on sets of the form S X T where S and T are equicontinuous subsets of E′, F′ the topological duals of E, F respectively ([11], p. 96). For a locally convex space G , G ′ will denote its topological dual.
1991 ◽
Vol 50
(1)
◽
pp. 98-107
◽
1979 ◽
Vol 22
(1)
◽
pp. 35-41
◽
Keyword(s):
1987 ◽
Vol 29
(1)
◽
pp. 65-68
◽
1969 ◽
Vol 65
(3)
◽
pp. 601-611
◽
Keyword(s):
1992 ◽
Vol 53
(1)
◽
pp. 92-102
◽
1987 ◽
Vol 36
(2)
◽
pp. 267-278
1989 ◽
Vol 31
(1)
◽
pp. 59-64
◽