Composition of (E,2)-summing operators

Andreas Defant, and Mieczysław Mastyło. "Composition of (E,2)-summing operators." Studia Mathematica 159.1 (2003): 51-65. <http://eudml.org/doc/284541>.

@article{AndreasDefant2003,
abstract = {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.},
author = {Andreas Defant, Mieczysław Mastyło},
journal = {Studia Mathematica},
keywords = {summing operators; composition of operators; Weyl numbers},
language = {eng},
number = {1},
pages = {51-65},
title = {Composition of (E,2)-summing operators},
url = {http://eudml.org/doc/284541},
volume = {159},
year = {2003},
}

TY - JOUR
AU - Andreas Defant
AU - Mieczysław Mastyło
TI - Composition of (E,2)-summing operators
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 1
SP - 51
EP - 65
AB - 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.
LA - eng
KW - summing operators; composition of operators; Weyl numbers
UR - http://eudml.org/doc/284541
ER -