An element a of the Banach algebra A is said to be regular provided there is an element b belonging to A such that a = aba. In this note we study the set of regular elements in the Calkin algebra C(X) over an infinite-dimensional complex Banach space X.
@article{urn:eudml:doc:41826,
title = {A note on regular elements in Calkin algebras.},
journal = {Collectanea Mathematica},
volume = {43},
year = {1992},
pages = {37-42},
zbl = {0807.46065},
mrnumber = {MR1214221},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41826}
}
Rakocevic, Vladimir. A note on regular elements in Calkin algebras.. Collectanea Mathematica, Tome 43 (1992) pp. 37-42. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41826/