Fremlin, DH (1975) Pointwise compact sets of measurable functions. Manuscripta Mathematica, 15 (3). pp. 219-242. DOI https://doi.org/10.1007/bf01168675
Fremlin, DH (1975) Pointwise compact sets of measurable functions. Manuscripta Mathematica, 15 (3). pp. 219-242. DOI https://doi.org/10.1007/bf01168675
Fremlin, DH (1975) Pointwise compact sets of measurable functions. Manuscripta Mathematica, 15 (3). pp. 219-242. DOI https://doi.org/10.1007/bf01168675
Abstract
If X is a compact Radon measure space, and A is a pointwise compact set of real-valued measurable functions on X, then A is compact for the topology of convergence in measure (Corollary 2H). Consequently, if Xo,..., Xn are Radon measure spaces, then a separately continuous real-valued function on Xo×X1×...×Xn is jointly measurable (Theorem 3E). If we seek to generalize this work, we encounter some undecidable problems (§4). © 1975 Springer-Verlag.
Item Type: | Article |
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Uncontrolled Keywords: | math.LO; math.FA |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 22 Apr 2021 14:57 |
Last Modified: | 07 Aug 2024 18:43 |
URI: | http://repository.essex.ac.uk/id/eprint/21544 |
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