Characterization of g∞,σ‐integral operators |
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| Authors: | G Arango J A Lpez Molina M J Rivera |
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| Institution: | G. Arango,J. A. López Molina,M. J. Rivera |
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| Abstract: | The application of the general tensor norms theory of Defant and Floret to the ideal of (p, σ)‐absolutely continuous operators of Matter, 0 < σ < 1, 1 ≤ p < ∞ leads to the study of gp′,σ‐nuclear and gp′,σ‐integral operators. Characterizations of such operators has been obtained previously in the case p > 1. In this paper we characterize the g∞,σ‐nuclear and g∞,σ‐integral operators by the existence of factorizations of some special kinds. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Ultraproducts of Banach spaces g∞ σ ‐nuclear and g∞ σ ‐integral maps |
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