Identifies largest subspace R_μ in L1(Ω) + L∞(Ω) for σ-finite infinite measures where Dunford-Schwartz ergodic averages converge almost uniformly, with extensions to Besicovitch weights and pointwise convergence via return times theorem.
Ryll-Nardzewski, Topics in ergodic theory , Winter school on probability, Karpacz 1975, Lect
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Individual ergodic theorems for infinite measure
Identifies largest subspace R_μ in L1(Ω) + L∞(Ω) for σ-finite infinite measures where Dunford-Schwartz ergodic averages converge almost uniformly, with extensions to Besicovitch weights and pointwise convergence via return times theorem.