The Banach operator ideal of (q,2)-summing operators plays a fundamental role within the theory of s-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for (E,2)-summing operators, E a symmetric Banach sequence space.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-3,
author = {Andreas Defant and Mieczys\l aw Masty\l o},
title = {Composition of (E,2)-summing operators},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {51-65},
zbl = {1065.47019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-3}
}
Andreas Defant; Mieczysław Mastyło. Composition of (E,2)-summing operators. Studia Mathematica, Tome 157 (2003) pp. 51-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-3/