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A canonical decomposition for quadratic forms with applications to monotone convergence theorems

✍ Scribed by Barry Simon


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
463 KB
Volume
28
Category
Article
ISSN
0022-1236

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## Abstract Let 1 ≀ __p__ < ∞ and let __T__ be an ergodic measure‐preserving transformation of the finite measure space (__X__, __ΞΌ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ Ο΅ __L^p^__ (__X__, __ΞΌ__), equation image When __X__ = π•Š^__n__^ (the unit spher