Maličky-Riečan's entropy as a version of operator entropy

Bartosz Frej

Fundamenta Mathematicae (2006)

  • Volume: 189, Issue: 2, page 185-193
  • ISSN: 0016-2736

Abstract

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The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.

How to cite

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Bartosz Frej. "Maličky-Riečan's entropy as a version of operator entropy." Fundamenta Mathematicae 189.2 (2006): 185-193. <http://eudml.org/doc/282969>.

@article{BartoszFrej2006,
abstract = {The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.},
author = {Bartosz Frej},
journal = {Fundamenta Mathematicae},
keywords = {Doubly stochastic operator; Markov operator; entropy},
language = {eng},
number = {2},
pages = {185-193},
title = {Maličky-Riečan's entropy as a version of operator entropy},
url = {http://eudml.org/doc/282969},
volume = {189},
year = {2006},
}

TY - JOUR
AU - Bartosz Frej
TI - Maličky-Riečan's entropy as a version of operator entropy
JO - Fundamenta Mathematicae
PY - 2006
VL - 189
IS - 2
SP - 185
EP - 193
AB - The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.
LA - eng
KW - Doubly stochastic operator; Markov operator; entropy
UR - http://eudml.org/doc/282969
ER -

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