Fourier analysis methods in operator ergodic theory on super-reflexive Banach spaces

DOI10.3934/ERA.2010.17.90zbMath1207.37008OpenAlexW2316237217MaRDI QIDQ600830

Earl Berkson

Publication date: 2 November 2010

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2010.17.90

zbMATH Keywords

spectral decomposition\(p\)-variationergodic Hilbert transformsuper-reflexive Banach spacetrigonometrically well-bounded operator

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Ergodic theorems, spectral theory, Markov operators (37A30) Functions of bounded variation, generalizations (26A45)

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\(A_{p}\) weights and strong convergence of operator-valued Fourier series for Stieltjes convolutions of Marcinkiewicz functions ⋮ Operator ergodic theory for one-parameter decomposable groups

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