Displaying similar documents to “Factorization theorem for 1 -summing operators”

Absolutely (∞,p) summing and weakly-p-compact operators in Banach spaces.

Jesús M. Fernández Castillo (1990)

Extracta Mathematicae

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A sequence (x) in a Banach space X is said to be weakly-p-summable, 1 ≤ p < ∞, when for each x* ∈ X*, (x*x) ∈ l. We shall say that a sequence (x) is weakly-p-convergent if for some x ∈ X, (x - x) is weakly-p-summable.