✦ LIBER ✦

Abel Ergodic Properties and Spectral Decomposition for Locally Integrable Semigroups

✍ Scribed by Sheng Wang Wang

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 192 KB
Volume: 221
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5653

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✦ Synopsis

The question regarding the relationship between the spectral decomposition property of operators of a strongly continuous semigroup and that of its generator has been left open for many years. This paper proves that if one of the operators of a strongly continuous semigroup has the spectral decomposition property, then its generator does also. An example shows that the converse is not true in general.