A generalization of the Nikodym boundedness theorem.

Christopher Stuart

Collectanea Mathematica (2007)

  • Volume: 58, Issue: 1, page 151-154
  • ISSN: 0010-0757

Abstract

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In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.

How to cite

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Stuart, Christopher. "A generalization of the Nikodym boundedness theorem.." Collectanea Mathematica 58.1 (2007): 151-154. <http://eudml.org/doc/41802>.

@article{Stuart2007,
abstract = {In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.},
author = {Stuart, Christopher},
journal = {Collectanea Mathematica},
keywords = {Espacios lineales topológicos; Espacio tonelado; Acotación; Nikodym's theorem; nested partition property},
language = {eng},
number = {1},
pages = {151-154},
title = {A generalization of the Nikodym boundedness theorem.},
url = {http://eudml.org/doc/41802},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Stuart, Christopher
TI - A generalization of the Nikodym boundedness theorem.
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 1
SP - 151
EP - 154
AB - In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.
LA - eng
KW - Espacios lineales topológicos; Espacio tonelado; Acotación; Nikodym's theorem; nested partition property
UR - http://eudml.org/doc/41802
ER -

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