Properties of Orlicz-Pettis or Nikodym type and barrelledness conditions

Philippe Turpin

Annales de l'institut Fourier (1978)

  • Volume: 28, Issue: 3, page 67-85
  • ISSN: 0373-0956

Abstract

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An Orlicz-Pettis type property for vector measures and also the “Uniform Boundedness Principle” are shown to fail without local convexity assumption. The author asks under which generalized convexity hypotheses these properties remain true. This problem is expressed in terms of barrelledness type conditions.

How to cite

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Turpin, Philippe. "Properties of Orlicz-Pettis or Nikodym type and barrelledness conditions." Annales de l'institut Fourier 28.3 (1978): 67-85. <http://eudml.org/doc/74376>.

@article{Turpin1978,
abstract = {An Orlicz-Pettis type property for vector measures and also the “Uniform Boundedness Principle” are shown to fail without local convexity assumption. The author asks under which generalized convexity hypotheses these properties remain true. This problem is expressed in terms of barrelledness type conditions.},
author = {Turpin, Philippe},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3},
pages = {67-85},
publisher = {Association des Annales de l'Institut Fourier},
title = {Properties of Orlicz-Pettis or Nikodym type and barrelledness conditions},
url = {http://eudml.org/doc/74376},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Turpin, Philippe
TI - Properties of Orlicz-Pettis or Nikodym type and barrelledness conditions
JO - Annales de l'institut Fourier
PY - 1978
PB - Association des Annales de l'Institut Fourier
VL - 28
IS - 3
SP - 67
EP - 85
AB - An Orlicz-Pettis type property for vector measures and also the “Uniform Boundedness Principle” are shown to fail without local convexity assumption. The author asks under which generalized convexity hypotheses these properties remain true. This problem is expressed in terms of barrelledness type conditions.
LA - eng
UR - http://eudml.org/doc/74376
ER -

References

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