Characterizations of new Cohen summing bilinear operators |
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| Authors: | Dumitru Popa |
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| Institution: | 1. Department of Mathematics, Ovidius University of Constanta, Bd. Mamaia 124, 900527 Constanta, Romaniadpopa@univ-ovidius.ro |
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| Abstract: | We prove two characterizations of new Cohen summing bilinear operators. The first one is: Let X, Y and Z be Banach spaces, 1 < p < ∞, V : X × Y → Z a bounded linear operator and n ≥ 2 a natural number. Then V is new Cohen p-summing if and only if for all Banach spaces X1,?…?, Xn and all p-summing operators U : X1 × · · · × Xn → X, the operator V ? (U, IY) : X1 × · · · × Xn × Y → Z is  | |
| Keywords: | Primary 47H60 46G25 Secondary 46B25 46B28 46B45 46A32 |
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