Some Remarks on Functionals with the Tensorization Property

Paweł Wolff

Bulletin of the Polish Academy of Sciences. Mathematics (2007)

  • Volume: 55, Issue: 3, page 279-291
  • ISSN: 0239-7269

Abstract

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We investigate the subadditivity property (also known as the tensorization property) of φ-entropy functionals and their iterations. In particular we show that the only iterated φ-entropies with the tensorization property are iterated variances. This is a complement to the result due to Latała and Oleszkiewicz on characterization of the standard φ-entropies with the tensorization property.

How to cite

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Paweł Wolff. "Some Remarks on Functionals with the Tensorization Property." Bulletin of the Polish Academy of Sciences. Mathematics 55.3 (2007): 279-291. <http://eudml.org/doc/281238>.

@article{PawełWolff2007,
abstract = {We investigate the subadditivity property (also known as the tensorization property) of φ-entropy functionals and their iterations. In particular we show that the only iterated φ-entropies with the tensorization property are iterated variances. This is a complement to the result due to Latała and Oleszkiewicz on characterization of the standard φ-entropies with the tensorization property.},
author = {Paweł Wolff},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {product measure},
language = {eng},
number = {3},
pages = {279-291},
title = {Some Remarks on Functionals with the Tensorization Property},
url = {http://eudml.org/doc/281238},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Paweł Wolff
TI - Some Remarks on Functionals with the Tensorization Property
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 3
SP - 279
EP - 291
AB - We investigate the subadditivity property (also known as the tensorization property) of φ-entropy functionals and their iterations. In particular we show that the only iterated φ-entropies with the tensorization property are iterated variances. This is a complement to the result due to Latała and Oleszkiewicz on characterization of the standard φ-entropies with the tensorization property.
LA - eng
KW - product measure
UR - http://eudml.org/doc/281238
ER -

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