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Characterization of g∞,σ-integral operators

✍ Scribed by G. Arango; J. A. López Molina; M. J. Rivera

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
316 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 g~p′,σ~‐nuclear and g~p′,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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