Operators into Lp which Factor Through lp

DOI10.1112/jlms/s2-14.2.333zbMath0413.47025OpenAlexW2046780816MaRDI QIDQ4201323

William B. Johnson

Publication date: 1976

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-14.2.333

zbMATH Keywords

compact operatorsoperator factors through lp

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) Sequence spaces (including Köthe sequence spaces) (46A45) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items (9)

Banach spaces determined by their uniform structures ⋮ Strictly singular multiplication operators on \(\mathcal{L} (X)\) ⋮ Sur la factorisation de certains multiplicateurs ⋮ Subspaces and quotients of \(l_ p\) + \(l_ 2\) and \(X_ p\) ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators ⋮ The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\) ⋮ Interpolation and extrapolation of strictly singular operators between \(L_{p}\) spaces ⋮ A family of complemented subspaces in VMO and its isomorphic classification

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