Radon Measures on Banach Spaces with their Weak Topologies

Jayne, J.; Rogers, C.

Serdica Mathematical Journal (1995)

  • Volume: 21, Issue: 4, page 283-334
  • ISSN: 1310-6600

Abstract

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The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.

How to cite

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Jayne, J., and Rogers, C.. "Radon Measures on Banach Spaces with their Weak Topologies." Serdica Mathematical Journal 21.4 (1995): 283-334. <http://eudml.org/doc/11672>.

@article{Jayne1995,
abstract = {The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.},
author = {Jayne, J., Rogers, C.},
journal = {Serdica Mathematical Journal},
keywords = {Banach Space; Weak Topology; Borel Measure; Radon Measure; existence or non-existence of Borel measures that are not Radon measures on Banach spaces equipped with their weak topologies},
language = {eng},
number = {4},
pages = {283-334},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Radon Measures on Banach Spaces with their Weak Topologies},
url = {http://eudml.org/doc/11672},
volume = {21},
year = {1995},
}

TY - JOUR
AU - Jayne, J.
AU - Rogers, C.
TI - Radon Measures on Banach Spaces with their Weak Topologies
JO - Serdica Mathematical Journal
PY - 1995
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 21
IS - 4
SP - 283
EP - 334
AB - The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.
LA - eng
KW - Banach Space; Weak Topology; Borel Measure; Radon Measure; existence or non-existence of Borel measures that are not Radon measures on Banach spaces equipped with their weak topologies
UR - http://eudml.org/doc/11672
ER -

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