Applications de dualité dans les espaces de Köthe

DOI10.4064/sm-93-1-41-69zbMath0691.46018OpenAlexW949904385MaRDI QIDQ3032801

Bernard Bru, Henri Heinich

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/218911

zbMATH Keywords

conditional expectationrearrangement invariant spaceOrlicz spacesKöthe function spacea.s. convergence for best approxmationsa.s. convergence for the iterates of duality mapsAndo theorem for contractive projectionsduality maps in Köthe spaces

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) Generalizations of martingales (60G48) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (9)

On the geometry of some Calderón-Lozanovskij interpolation spaces ⋮ The Monge problem in Banach spaces ⋮ Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation ⋮ Monotonicity and rotundity properties in Banach lattices ⋮ Criteria for monotonicity properties of Musielak-Orlicz spaces equipped with the Amemiya norm ⋮ Monotonicity Properties of Lorentz Spaces ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular ⋮ Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices ⋮ Monge problem for \(n\) probabilities

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