We investigate the properties of the entropy and conditional entropy of measurable partitions of unity in the space of essentially bounded functions defined on a Lebesgue probability space.
@article{bwmeta1.element.bwnjournal-article-cmv84i1p245bwm,
author = {Brunon Kami\'nski and Jos\'e de Sam Lazaro},
title = {A note on the entropy of a doubly stochastic operator},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {245-254},
zbl = {0977.37015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p245bwm}
}
Kamiński, Brunon; de Sam Lazaro, José. A note on the entropy of a doubly stochastic operator. Colloquium Mathematicae, Tome 84/85 (2000) pp. 245-254. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p245bwm/
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