Individual ergodic theorems for infinite measure
Vladimir ChilinThe National University of Uzbekistan Vuzgorodok Tashkent, UzbekistanDoğan ÇömezNorth Dakota State University P.O. Box 6050 Fargo, ND 58108, U.S.ASemyon LitvinovPennsylvania State University 76 University Drive Hazleton, PA 18202, U.S.A
ABI
Аннотация
Given a $\sigma $-finite infinite measure space $(\Omega ,\mu )$, it is shown that any Dun\-ford–Schwartz operator $T: \mathcal {L}^1(\Omega )\to \mathcal {L}^1(\Omega )$ can be uniquely extended to the space $\mathcal {L}^1(\Omega )+\mathcal {L}^\infty (
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