Generalizations of almost periodicity;
mean ergodic theorem;
invariant mean;
semigroups of operators;
locally convex space;
NONEXPANSIVE-MAPPINGS;
NONLINEAR CONTRACTIONS;
AMENABLE SEMIGROUPS;
CONVERGENCE;
RETRACTIONS;
EXISTENCE;
D O I:
10.1007/s11784-023-01081-9
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We wish to investigate mean ergodic theorems for generalizations of almost periodic functions on semigroups, as well as for semigroups of operators in the framework of locally convex spaces. Specially, we present functional characterizations of concepts of almost periodicity for vector-valued functions.