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Strongly subadditive functions

✍ Scribed by K. Audenaert; F. Hiai; D. Petz

Book ID: 106343883
Publisher: Akadmiai Kiad
Year: 2010
Tongue: English
Weight: 205 KB
Volume: 128
Category: Article
ISSN: 1588-2632
DOI: 10.1007/s10474-010-9222-7

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Let ,: X\_T + Ä X be a semiflow on a compact metric space X. A function F: X\_T + Ä X is subadditive with respect to , if F(x, t+s) F(x, t)+F(,(x, t), s). We define the maximal growth rate of F to be sup x # X lim sup t Ä (1Ât) F(x, t). This growth rate is shown to equal the maximal growth rate of t