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- W145978746 abstract "Let $$(X,left| cdot right|_X )$$ be a real Banach space and let E be an ideal of L 0 over a σ-finite measure space (Ω, Σ, μ). Let (X) be the space of all strongly Σ-measurable functions f: Ω → X such that the scalar function $${tilde f}$$ , defined by $$tilde f(omega ) = left| {f(omega )} right|_X {text{ for }}omega in Omega $$ , belongs to E. The paper deals with strong topologies on E(X). In particular, the strong topology $$beta ({rm E}(X),{rm E}(X)user1{tilde n)(}{rm E}(X)user1{tilde n} = $$ the order continuous dual of E(X)) is examined. We generalize earlier results of [PC] and [FPS] concerning the strong topologies." @default.
- W145978746 created "2016-06-24" @default.
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- W145978746 date "2000-06-01" @default.
- W145978746 modified "2023-10-12" @default.
- W145978746 title "Strong topologies on vector-valued function spaces" @default.
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- W145978746 doi "https://doi.org/10.1023/a:1022487305977" @default.
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