Applications of Banach ideals of operators

DOI10.1090/S0002-9904-1975-13881-XzbMath0315.47028OpenAlexW1995082396MaRDI QIDQ4076381

James R. Retherford

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1975-13881-x

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) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15) Lattices of continuous, differentiable or analytic functions (46E05) Duality and reflexivity in normed linear and Banach spaces (46B10) Linear spaces of operators (47L05)

Related Items

Order p-summing operators, p-stable distributions and characterizations of \(L^ p\)-spaces ⋮ Exposed and denting points in duals of operator spaces ⋮ Some vector-lattice characterizations of operators of type RN ⋮ On sequence space derived by the domain of \(q\)-Cesàro matrix in \(\ell_p\) space and the associated operator ideal ⋮ Normed lattices ⋮ On operator ideals using weighted Cesàro sequence space ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ On the nontrivial projection problem ⋮ On some geometric properties of generalized Musielak-Orlicz sequence space and corresponding operator ideals ⋮ The Five Lemma for Banach Spaces

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