Ergodic theorems for $L_1$--$L_{\infty }$ contractions in Banach--Kantorovich $L_p$-lattices

Abstract

We present versions of ergodic theorems for $L_1$--$L_{\infty }$ contractions in Banach--Kantorovich $L_p$-lattices associated with the Maharam measure taking values in the algebra of measurable functions.

arXiv comment17 pages