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Measurability of linear operators in the Skorokhod topology. (English) Zbl 0844.47016

Summary: It is proved that bounded linear operators on Banach spaces of “cadlag” functions are measurable with respect to the Borel \(\sigma\)-algebra associated with the Skorokhod topology.

MSC:

47B38 Linear operators on function spaces (general)
46E10 Topological linear spaces of continuous, differentiable or analytic functions
46B26 Nonseparable Banach spaces
28B05 Vector-valued set functions, measures and integrals
46G12 Measures and integration on abstract linear spaces
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