Individual ergodic theorems for infinite measure

Vladimir Chilin, Dogan Comez, Semyon Litvinov

Given a $\sigma$-finite infinite measure space $(\Omega ,\mu )$, it is shown that any Dunford-Schwartz operator $T:{\mathcal{L}}^1(\Omega )\to {\mathcal{L}}^1(\Omega )$ can be uniquely extended to the space $\ma…