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On coincidence of the ideal of strictly singular operators with the ideal of \(\Phi\)-admissible perturbations in Lorentz spaces. (English. Russian original) Zbl 0671.47017

Transl., II. Ser., Am. Math. Soc. 142, 73-82 (1989); translation from Investigations on functional analysis and differential equations, Interuniv. Collect., Kishinev 1984, 112-121 (1984).
See the review in Zbl 0595.47019.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47A53 (Semi-) Fredholm operators; index theories
47A55 Perturbation theory of linear operators
47L10 Algebras of operators on Banach spaces and other topological linear spaces
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces