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Theorems on decomposition of operators inL1and their generalization to vector lattices

✍ Scribed by O. V. Maslyuchenko; V. V. Mykhailyuk; M. M. Popov


Publisher
Springer
Year
2006
Tongue
English
Weight
295 KB
Volume
58
Category
Article
ISSN
0041-5995

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## Abstract A generalized relative entropy functional is associated to the evolution of gas in a container with (generally) non‐uniform boundary data. A decomposition for its rate in β€˜bulk’ and in β€˜boundary’ terms is given; for the linear case both have a definite sign. The relation with the strong