Extreme contractions on certain function spaces

DOI10.4064/cm-40-1-147-153zbMath0408.47034OpenAlexW949295470MaRDI QIDQ4195470

Anzelm Iwanik

Publication date: 1978

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-40-1-147-153

zbMATH Keywords

Extreme PointsFunction SpacesAl-SpaceExtreme ContractionsExtreme OperatorsKrein-Milman Type TheoremsNonsingular TransrofmationStonian Space

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) Banach lattices (46B42) Spaces of linear operators; topological tensor products; approximation properties (46A32) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets and cones of operators (47L07) Ordered topological linear spaces, vector lattices (46A40)

Related Items (10)

The root problem for stochastic and doubly stochastic operators ⋮ Extreme contractions on finite-dimensional polygonal Banach spaces ⋮ On subspaces of \(\ell_\infty\) and extreme contractions in \(\mathbb{L}(\mathbb{X}, \ell_{\infty}^n)\) ⋮ Extreme contractions on finite-dimensional Banach spaces ⋮ Extreme operator-valued continuous maps ⋮ Exposed and smooth points of some classes of operation in \(L(\ell^ p)\) ⋮ On extreme contractions between real Banach spaces ⋮ Extreme continuous function property ⋮ A class of extreme contractions in \(L(\ell ^ p)\) ⋮ Characterization of extreme contractions through k-smoothness of operators

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