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.
Kunszenti-Kov´ acs, Counter-examples to the Dunfor d-Schwartz pointwise ergodic theorem on L1 + L∞ Arch
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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.