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A Uniform Ergodic Theorem for Commuting Semigroups
Author(s) -
Mbekhta M.,
Vasilescu F.H.
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s002461079800684x
Subject(s) - mathematics , ergodic theory , banach space , uniform limit theorem , infinitesimal , bounded inverse theorem , bounded function , limit (mathematics) , pure mathematics , special classes of semigroups , space (punctuation) , semigroup , uniform boundedness , eberlein–šmulian theorem , topology (electrical circuits) , bounded operator , discrete mathematics , mathematical analysis , combinatorics , lp space , computer science , operating system
The existence of the limit, in the uniform topology, of the averages of a finite family of commuting strongly continuous semigroups of bounded linear operators in a Banach space is characterised in terms of infinitesimal generators.