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

DOI10.2307/1995733zbMath0205.43003OpenAlexW4236580041MaRDI QIDQ5605467

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

Multiple summing operators on \(C(K)\) spaces ⋮ Fully nuclear operators ⋮ Inclusion and coincidence properties for Cohen strongly summing multilinear operators ⋮ The geometry of projective, injective, and flat Banach modules ⋮ Integral Operators in Banach Spaces ⋮ Applications of Banach ideals of operators ⋮ Factorization of \((q,p)\)-summing polynomials through Lorentz spaces ⋮ Spaces on Which each Absolutely Summing Map is Nuclear ⋮ Absolutely summing operators and local unconditional structures ⋮ Approximationszahlen, \(p\)-nukleare Operatoren und Hilbertraumcharakterisierungen ⋮ Factoring operators through \(c_0\) ⋮ On the local structure of subspaces of Banach lattices ⋮ Certain classes of continuous linear operations ⋮ On the compact non-nuclear operator problem ⋮ On a tensor product characterization of nuclearity ⋮ A note on \(P\)-spaces ⋮ Characterizations of Banach spaces whose duals are \(L_ 1\) spaces ⋮ Banach ideals of operators with applications to the finite dimensional structure of Banach spaces ⋮ \(L_1\)-Räume und Liftings von Operatoren nach Quotienten lokalkonvexer Räume ⋮ Tensor Product Mappings. II