Orlicz and unconditionally convergent series in L¹

J. Diestel

Banach Center Publications (2004)

  • Volume: 64, Issue: 1, page 39-50
  • ISSN: 0137-6934

Abstract

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We revisit Orlicz's proof of the square summability of the norms of the terms of an unconditionally convergent series in L¹. The result is then used to motivate abstract generalizations and concrete improvements.

How to cite

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J. Diestel. "Orlicz and unconditionally convergent series in L¹." Banach Center Publications 64.1 (2004): 39-50. <http://eudml.org/doc/281582>.

@article{J2004,
abstract = {We revisit Orlicz's proof of the square summability of the norms of the terms of an unconditionally convergent series in L¹. The result is then used to motivate abstract generalizations and concrete improvements.},
author = {J. Diestel},
journal = {Banach Center Publications},
keywords = {Rademacher functions; uniform convexity; cotype; tensor products; Lebesgue spaces},
language = {eng},
number = {1},
pages = {39-50},
title = {Orlicz and unconditionally convergent series in L¹},
url = {http://eudml.org/doc/281582},
volume = {64},
year = {2004},
}

TY - JOUR
AU - J. Diestel
TI - Orlicz and unconditionally convergent series in L¹
JO - Banach Center Publications
PY - 2004
VL - 64
IS - 1
SP - 39
EP - 50
AB - We revisit Orlicz's proof of the square summability of the norms of the terms of an unconditionally convergent series in L¹. The result is then used to motivate abstract generalizations and concrete improvements.
LA - eng
KW - Rademacher functions; uniform convexity; cotype; tensor products; Lebesgue spaces
UR - http://eudml.org/doc/281582
ER -

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