The Schatten Sp classes, 1 ≤ p ≤ ∞, were introduced and studied in [6] in connection with the problem of finding suitable classes of operators having a well-defined trace.
In this paper we consider a generalization Sφ of the Schatten classes Sp obtained in correspondence with opportune, continuous, strictly increasing, sub-additive functions φ: [0,∞) → [0,∞) such that φ(0) = 0 and φ(1) = 1. Our purpose is to study the spaces Sφ of the φ-nuclear operators and to compare their properties with those of the well-known space S1 of nuclear operators.
@article{urn:eudml:doc:39921,
title = {On the Schatten S$\phi$ classes.},
journal = {Extracta Mathematicae},
volume = {6},
year = {1991},
pages = {52-54},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39921}
}
Simôes, Marilda A. On the Schatten Sφ classes.. Extracta Mathematicae, Tome 6 (1991) pp. 52-54. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39921/