Compact and strictly singular operators on certain function spaces

DOI10.1007/BF01193613zbMath0539.47023MaRDI QIDQ793964

Nigel J. Kalton

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

quasi-Banach spacecompact operatorsstrictly singular operatorsnon-locally convex symmetric function spaces which have a Schauder basisoperators on symmetric function 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) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (5)

Obituary: Nigel John Kalton, 1946-2010 ⋮ Inequalities for sums of independent random variables in Lorentz spaces ⋮ Fréchet envelopes of locally concave F-spaces ⋮ Interpolation of intersections of \(L_ p\) spaces ⋮ Noncommutative Boyd interpolation theorems

Cites Work

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• Isomorphisms between \(L_ p\)-function spaces when \(p<1\)
• Compact and strictly singular operators on Orlicz spaces
• Isomorphisms between spaces of vector-valued continuous functions
• Quotients of F-spaces

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