Bundle convergence of Cesáro means of orthogonal sequences in noncommutative \(L_2\)-spaces

DOI10.1023/A:1004799115653zbMath0938.46052OpenAlexW2013602572MaRDI QIDQ1964601

Ferenc Móricz

Publication date: 21 February 2000

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004799115653

zbMATH Keywords

von Neumann algebraCesàro meanscompletionorthogonal sequencebundle convergencefaithful and normal stateGelfand-Naimark-Segal representation theoremGNS representation spacenoncommutative \(L^2\) spacepreHilbert spaceSunouchi-Yano identity

Mathematics Subject Classification ID

Strong limit theorems (60F15) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Noncommutative measure and integration (46L51) General harmonic expansions, frames (42C15) Noncommutative function spaces (46L52)

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