(\(p\),\(q\))-summing sequences

DOI10.1016/S0022-247X(02)00379-7zbMath1010.46014OpenAlexW1989170458MaRDI QIDQ1856889

Oscar Blasco, José Luis Arregui

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00379-7

zbMATH Keywords

Grothendieck theoremtype and cotype(p, q)-summing operatorssequences on Banach spacesweak principle of local reflexivity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) 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)

Related Items

On almost summing polynomials and multilinear mappings, Remarks on the semivariation of vector measures with respect to Banach spaces., Absolutely summing multilinear operators on \(\ell_p\) spaces, On operator valued sequences of multipliers and \(R\)-boundedness, Power-normed spaces, Strongly (p,q)-summable sequences, On the Maurey-Pisier and Dvoretzky-Rogers theorems, Representation of \(L^q(\mu)\hat {\otimes} X\) by vector-valued function spaces, Coincidence Results for Summing Multilinear Mappings, Summability of multilinear mappings: Littlewood, Orlicz and beyond, Absolutely \(p\)-summable sequences in Banach spaces and range of vector measures, (\(p\),\(q\))-summing sequences, Banach space sequences and projective tensor products.

Cites Work

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• Cotype of operators from \(C(K)\)
• (\(p\),\(q\))-summing sequences
• Cotype and \((q,1)\)-summing norm in a Banach space
• Some remarks on (p,q)-absolutely summing operators in $l_{p}$-spaces
• On summing multipliers and applications