Russu, G. I. 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 Keywords:ideals of Phi-admissible perturbations; strictly; singular operators; subprojective Banach spaces; existence of an absolute basis; Lorentz space Citations:Zbl 0592.00020; Zbl 0199.453; Zbl 0595.47019 PDFBibTeX XML