Fully Nuclear and Completely Nuclear Operators with Applications to ℒ 1 - and ℒ ∞ -Spaces

DOI10.2307/1995733zbMath0225.47012OpenAlexW4236580041MaRDI QIDQ5631643

James R. Retherford, Charles P. Stegall

Publication date: 1972

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

Full work available at URL: https://doi.org/10.2307/1995733

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (11)

Integral mappings between Banach spaces ⋮ Bounded linear non-absolutely summing operators ⋮ Banach ideals of operators with applications ⋮ Quelques caractérisations opératorielles des \(\mathcal L_p\)-espaces ⋮ Topologically flat Banach modules ⋮ Integral operators on the product of \(C(K)\) spaces. ⋮ Certain properties of measures on a normed space possessing the property RN ⋮ Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\) ⋮ Operator characterizations of \(L_p\)-spaces ⋮ Two new properties of ideals of polynomials and applications ⋮ Polynomial characterization of \({\mathcal L}_{\infty}\)-spaces

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