Browsing by Title "p-summing operators on injective tensor products of spaces"

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p-summing operators on injective tensor products of spaces

Montgomery-Smith, Stephen, 1963-; Saab, Paulette, 1952- (2011)

Let X, Y and Z be Banach spaces, and let Πp(Y,Z) (1 ≤ p < ∞) denote the space of p-summing operators from Y to Z. We show that, if X is a £∞-space, then a bounded linear operator T:X⊗εY→Z is 1-summing if and only if a ...