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Characterization of g ∞, σ ‐integral operators
Author(s) -
Arango G.,
López Molina J. A.,
Rivera M. J.
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310286
Subject(s) - mathematics , characterization (materials science) , pseudodifferential operators , operator theory , fourier integral operator , pure mathematics , tensor product , physics , optics
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)