On the geometry of conditional expectations treated as projections on the L 2-space

DOI10.1515/ms-2015-0195zbMath1399.46030OpenAlexW2553992889MaRDI QIDQ2836166

Andrzej Komisarski, Adam Paszkiewicz

Publication date: 7 December 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0195

zbMATH Keywords

conditional expectationorthogonal projection\(L^2\)-space

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Linear operators in (C^*)- or von Neumann algebras (47C15) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

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Compositions of conditional expectations, Amemiya-Andô conjecture and paradoxes of thermodynamics

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