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Villanueva, Ignacio

Integral mappings between Banach spaces. (English) Zbl 1030.47503

J. Math. Anal. Appl. 279, No. 1, 56-70 (2003).
The author studies integral mappings between Banach spaces. He considers some classes of “Grothendieck-integral” (G-integral) and “Pietsch-integral” (P-integral) multilinear operators. It is shown that a multilinear operator between Banach spaces is G- or P-integral if and only if its linearization is of the same kind on the injective product of the spaces.
Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu)

Cited in 1 Review
Cited in 25 Documents

MSC:

47G10 Integral operators

Keywords:

integral operators; multilinear operator; spaces of continuous functions; injective tensor product
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References:

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