A General Extrapolation Theorem for Absolutely Summing Operators
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چکیده
The notion of absolutely (p; q)-summing linear operators is due to A. Pietsch [18] and B. Mitiagin and A. Pe lczyński [14], inspired by previous works of A. Grothendieck. The nonlinear theory of absolutely summing operators was initiated by A. Pietsch and a complete nonlinear approach was introduced by M.C. Matos [12]. Let X,Y be Banach spaces over a fixed scalar field K = R or C; for 1 ≤ p < ∞, denote by lp,w (X) the space of all sequences (xj) ∞ j=1 in X such that (φ (xj)) ∞ j=1 ∈ lp for every φ in the topological dual of X (represented by X). Let L be the class of all continuous linear operators between Banach spaces over K, i.e., L = ⋃
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تاریخ انتشار 2011