Topologies on spaces of vector-valued continuous functions

Khurana, Surjit Singh

doi:10.1090/S0002-9947-1978-0492297-X

Topologies on spaces of vector-valued continuous functions
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Trans. Amer. Math. Soc. 241 (1978), 195-211 Request permission

Abstract:

Topologies ${\beta _0},{\beta _1},\beta ,{\beta _\infty },{\beta _{\infty c}}$ are defined on ${C_b}(X,E)$, the space of all bounded, continuous functions from a completely regular Hausdorff space X, into E, a normed space, and their duals are determined. Also many properties of these topologies are proved.

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