On a $d$-parameter ergodic theorem for continuous semigroups of operators satisfying norm conditions

Shigeru Hasegawa; Ryotaro Sato

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

General Ergodic Theorems for Semigroups of Linear Operators

Shigeru Tsurumi (1975)

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Ergodic properties of contraction semigroups in $L_{p}$ , $1 < p < \infty$

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 $L_{p}$ , $1 < p < \infty$ , 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 $| T (t) f | \leq P (t) | f |$ for all $f \in L_{p}$ , then there exists a strongly continuous semigroup ${S (t) : t > 0}$ of positive linear contractions in $L_{p}$ such that $| T (t) f | \leq S (t) | f |$ for all $t > 0$ and $f \in L_{p}$ . Using this and Akcoglu’s dominated ergodic theorem for positive linear contractions in $L_{p}$ , we also prove multiparameter pointwise ergodic and local ergodic...

A note on a local ergodic theorem

Ryotaro Sato (1975)

Commentationes Mathematicae Universitatis Carolinae

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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...............................................................

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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.

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J. Goldstein, c. Radin, R. Showalter (1978)

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

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