Displaying similar documents to “On a d -parameter ergodic theorem for continuous semigroups of operators satisfying norm conditions”

Ergodic properties of contraction semigroups in L p , 1 < p < ∞

Ryotaro Sato (1994)

Commentationes Mathematicae Universitatis Carolinae

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Let { T ( t ) : t > 0 } be a strongly continuous semigroup of linear contractions in L p , 1 < p < ∞ , of a σ -finite measure space. In this paper we prove that if there corresponds to each t > 0 a positive linear contraction P ( t ) in L p such that | T ( t ) f | ≤ P ( t ) | f | for all f ∈ L p , then there exists a strongly continuous semigroup { S ( t ) : t > 0 } of positive linear contractions in L p such that | T ( t ) f | ≤ S ( t ) | f | for all t > 0 and f ∈ L p . Using this and Akcoglu’s dominated ergodic theorem for positive linear contractions in L p , we also prove multiparameter pointwise ergodic and local ergodic...

Induced contraction semigroups and random ergodic theorems

T. Yoshimoto

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CONTENTS§ 1. Introduction.................................................................................................... 5§ 2. Contraction quasi semigroups associated with, a semiflow....................... 7§ 3. Induced contraction semigroups....................................................................... 12§ 4. Discrete random ergodic theorems.................................................................. 18§ 5. Continuous random ergodic theorems...............................................................

Ergodic theorems and perturbations of contraction semigroups

Marta Tyran-Kamińska (2009)

Studia Mathematica

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We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.