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

DOI10.1016/J.JFA.2017.05.004zbMath1379.46024OpenAlexW2615385749MaRDI QIDQ2357089

Andrzej Komisarski

Publication date: 19 June 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.05.004

zbMATH Keywords

Hilbert spaceconditional expectation\(L^p\)-spaceheat exchangerorthogonal projectionAmemiya-Andô conjecturecomposition of orthogonal projections

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Probabilistic methods in Banach space theory (46B09)

Related Items (1)

Products of conditional expectation operators: convergence and divergence

Cites Work

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• Iterated conditional expectations
• Converse Jensen inequality
• Dilatation monotone risk measures are law invariant
• On rings of operators. Reduction theory
• On the geometry of conditional expectations treated as projections on the L ²-space
• A product of three projections
• Iterates of Conditional Expectation Operators
• Iterated Products of Projections in Hilbert Space
• Successive Conditional Expectations of an Integrable Function
• ON THE MAXIMAL ERGODIC THEOREM
• An “alternierende Verfahren” for general positive operators
• Equivalent Comparisons of Experiments

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