Lacunary convergence of series in L0 revisited.

Lech Drewnowski

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 1, page 111-115
  • ISSN: 1139-1138

Abstract

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A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.

How to cite

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Drewnowski, Lech. "Lacunary convergence of series in L0 revisited.." Revista Matemática Complutense 13.1 (2000): 111-115. <http://eudml.org/doc/44379>.

@article{Drewnowski2000,
abstract = {A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.},
author = {Drewnowski, Lech},
journal = {Revista Matemática Complutense},
keywords = {Desarrollo en serie de funciones; Espacio de convergencia; topological vector space of all scalar measurable functions; topology of convergence in measure; lacunary subseries converges},
language = {eng},
number = {1},
pages = {111-115},
title = {Lacunary convergence of series in L0 revisited.},
url = {http://eudml.org/doc/44379},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Drewnowski, Lech
TI - Lacunary convergence of series in L0 revisited.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 1
SP - 111
EP - 115
AB - A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.
LA - eng
KW - Desarrollo en serie de funciones; Espacio de convergencia; topological vector space of all scalar measurable functions; topology of convergence in measure; lacunary subseries converges
UR - http://eudml.org/doc/44379
ER -

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