Semigroups of continuous module homomorphisms on complex complete random normed modules
In this paper, we are concerned with a bounded strongly continuous semigroup of continuous module homomorphisms on a complex complete random normed module. The main results of this section are a theorem, which establishes a differential equation associated with the bounded s.c. semigroup generalizin...
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Veröffentlicht in: | Lithuanian mathematical journal 2019-04, Vol.59 (2), p.229-250 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, we are concerned with a bounded strongly continuous semigroup of continuous module homomorphisms on a complex complete random normed module. The main results of this section are a theorem, which establishes a differential equation associated with the bounded s.c. semigroup generalizing a central result in the paper [X. Zhang and M. Liu, On almost surely bounded semigroups of random linear operators,
J. Math. Phys.
, 54:053517, 2013], and a theorem, which is a version of the Hille–Yosida theorem for the contraction semigroup of continuous module homomorphisms on complex complete RN module. |
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ISSN: | 0363-1672 1573-8825 |
DOI: | 10.1007/s10986-019-09442-z |