Inclusion mappings between \(l^p\) spaces

DOI10.1016/0022-1236(73)90064-5zbMath0255.47033OpenAlexW2044705601MaRDI QIDQ2558655

Grahame Bennett

Publication date: 1973

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90064-5

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional analytic methods in summability (40H05)

Related Items

Summing norms of identities between unitary ideals, Extensions of Grothendieck and Bennett-Carl theorems, Weyl numbers and eigenvalues of operators in Banach spaces, Eigenvalues of integral operators. I, On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces, Estimates for vector valued Dirichlet polynomials, Large structures within the class of summing operators, Bohnenblust-Hille inequalities: analytical and computational aspects, Eigenvalues of integral operators. II, Sharp generalizations of the multilinear Bohnenblust-Hille inequality, The Bohnenblust-Hille cycle of ideas from a modern point of view, Factorization through inclusion mappings between \(\ell_p\)-spaces, Bohr's strips for Dirichlet series in Banach spaces, Coordinatewise multiple summing operators in Banach spaces, Bohr radii of vector valued holomorphic functions, A new multilinear insight on Littlewood's 4/3-inequality, Factorization through inclusion mappings between \(\ell_p\)-spaces, Inclusion mappings between Orlicz sequence spaces, Interpolation orbits in couples of Lebesgue spaces, Interpolation orbits in couples of \(L_p\) spaces, Summing inclusion maps between symmetric sequence spaces

Cites Work

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• Projections in certain Banach spaces
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• Absolut p-summierende Abbildungen in normierten Räumen
• Some remarks on (p,q)-absolutely summing operators in $l_{p}$-spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Absolut summierende Abbildungen in lokalkonvexen Räumen