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Cilia, Raffaella; Gutiérrez, Joaquín M.

Integral polynomials on Banach spaces not containing \(\ell _1\). (English) Zbl 1224.46088

Czech. Math. J. 60, No. 1, 221-231 (2010).
Summary: We give new characterizations of Banach spaces not containing \(\ell _1\) in terms of integral and \(p\)-dominated polynomials, extending to the polynomial setting a result of Cardassi and more recent results of Rosenthal.

Cited in 1 Document

MSC:

46G25 (Spaces of) multilinear mappings, polynomials
46B25 Classical Banach spaces in the general theory
47H60 Multilinear and polynomial operators

Keywords:

(Pietsch) integral polynomial; Banach space not containing \(\ell _1\), \(p\)-dominated polynomial
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References:

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