0. Introduction. Renaud [5] recently has extended the classic Mean and Individual Ergodic
Theorems to the framework of a-compact amenable locally compact unimodular groups. In …

1. Introduction. It has been recognized for some time that there is an intimate connection
between abstract (mean) ergodic theorems and amen-able groups or semigroups. Recent …

THE POINTWISE ERGODIC THEOREM FOR AMENABLE GROUPS. 473 among other
things, that the appropriate ergodic averages always converge in norm to a G-invariant …

In this paper we prove the pointwise ergodic theorem for general locally compact amenable
groups along Følner sequences that obey some restrictions. These restrictions are mild …

Ergodic theorems and the construction of summing sequences in amenable locally compact
groups Page 1 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, VOL. XXVI …

Conditions are found on a sequence of probability measures ${\mu _n} $ on a locally
compact abelian group G so that, for any strongly continuous unitary representation of G …

1. Introduction. A semigroup S is called right stationary if for each frm (S), the weak* closed
convex hull of right translates of f in m (S)= 11 (S)* contains a constant function. In [18], T …

Ergodic Theorems for Abelian Semi-Groups Page 1 ERGODIC THEOREMS FOR ABELIAN
SEMI-GROUPS(1) BY MAHLON M. DAY This paper adapts the method of F. Riesz to the proof …

In this paper we describe proofs of the pointwise ergodic theorem and Shannon-McMillan-
Breiman theorem for discrete amenable groups, along Følner sequences that obey some …

• 1. Introduction. The analytical interests concerning the ergodic theorems may be observed
from two viewpoints. Firstly, the ergodic theorems give us means for determining the fixed …