Compactness conditions for elementary operators

Matej Brešar, and Yuri V. Turovskii. "Compactness conditions for elementary operators." Studia Mathematica 178.1 (2007): 1-18. <http://eudml.org/doc/285037>.

@article{MatejBrešar2007,
abstract = {Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.},
author = {Matej Brešar, Yuri V. Turovskii},
journal = {Studia Mathematica},
keywords = {elementary operator; completely finite rank element; completely continuous element; compact element; generalized derivation; operator near ideal},
language = {eng},
number = {1},
pages = {1-18},
title = {Compactness conditions for elementary operators},
url = {http://eudml.org/doc/285037},
volume = {178},
year = {2007},
}

TY - JOUR
AU - Matej Brešar
AU - Yuri V. Turovskii
TI - Compactness conditions for elementary operators
JO - Studia Mathematica
PY - 2007
VL - 178
IS - 1
SP - 1
EP - 18
AB - Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.
LA - eng
KW - elementary operator; completely finite rank element; completely continuous element; compact element; generalized derivation; operator near ideal
UR - http://eudml.org/doc/285037
ER -