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Compact and strictly singular operators on Orlicz spaces. (English) Zbl 0348.47016


MSC:

47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

[1] L. Drewnowski and W. Orlicz,A note on modular spaces, Bull. Acad. Polon. Sci.16 (1968), 809–814. · Zbl 0164.43003
[2] N. J. Kalton,A note on the spaces Lp, 0 <p 1, Proc. Amer. Math. Soc,56 (1976), 199–202. · Zbl 0334.46030
[3] T. Kato,Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Analyse Math.6 (1958), 261–322. · Zbl 0090.09003
[4] M. A. Krasnoseloskii and Ya. M. Rutickii,Convex Functions and Orlicz Spaces, Nordhoff, Groningen, 1961.
[5] D. Pallaschke,The compact endomorphisms of the metric linear spaces L, Studia Math.47 (1973), 123–133. · Zbl 0256.46030
[6] P. Turpin,Opérateurs linéaires entre espaces d’Orlicz non localement convexes, Studia Math.46 (1973), 153–165. · Zbl 0254.46022
[7] P. Turpin,Convexites dans les espaces vectoriels topologiques generaux, Thèse Orsay, 1974 (Diss. Math., to appear).
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