We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.
@article{urn:eudml:doc:42298,
title = {On the space of $\phi$-nuclear operators on l2.},
journal = {Collectanea Mathematica},
volume = {41},
year = {1990},
pages = {123-128},
zbl = {0745.47015},
mrnumber = {MR1149648},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42298}
}
Simoes, Marilda A. On the space of φ-nuclear operators on l2.. Collectanea Mathematica, Tome 41 (1990) pp. 123-128. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42298/