Vector-valued measurable functions. (English) Zbl 06993900
Summary: The main goal of this paper is to find an approach to the following problem. How could a criterion be achieved so the spaces fulfilling it deserve to be considered in the range of vector-valued measurable functions?
MSC:
| 47A20 | Dilations, extensions, compressions of linear operators |
| 28A05 | Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets |
| 54F65 | Topological characterizations of particular spaces |
| 46A03 | General theory of locally convex spaces |
Keywords:
operator valued functions; Borel measurable spaces; hereditary Lindelöf spaces; locally convex spacesReferences:
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