International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 4, Pages 809-819
doi:10.1155/S0161171289001006
Sublinear functionals ergodicity and finite invariant measures
G. Das1
and B.K. Patel2
1Department of Mathematics, Utkal University, Vani Bihar, Bhubaneswar, Orissa, India
2Department of Mathematics, Khallikote College, Berhampur Pin Code 760001, Orissa, India
Abstract
By introducing a sublinear functional involving infinite matrices, we establish its connection with ergodicity and measure preserving transformation. Further, we characterize the existence of a finite invariant measure by means of a condition involving the above sublinear functional.