On spectral properties of linear combinations of idempotents
Hong-Ke Du; Chun-Yan Deng; Mostafa Mbekhta; Vladimír Müller
Studia Mathematica (2007)
- Volume: 180, Issue: 3, page 211-217
- ISSN: 0039-3223
Access Full Article
top
Abstract
topHow to cite
topHong-Ke Du, et al. "On spectral properties of linear combinations of idempotents." Studia Mathematica 180.3 (2007): 211-217. <http://eudml.org/doc/285133>.
@article{Hong2007,
abstract = {Let P,Q be two linear idempotents on a Banach space. We show that the closedness of the range and complementarity of the kernel (range) of linear combinations of P and Q are independent of the choice of coefficients. This generalizes known results and shows that many spectral properties of linear combinations do not depend on their coefficients.},
author = {Hong-Ke Du, Chun-Yan Deng, Mostafa Mbekhta, Vladimír Müller},
journal = {Studia Mathematica},
keywords = {linear idempotent; Banach space; closed range; complemented subspaces},
language = {eng},
number = {3},
pages = {211-217},
title = {On spectral properties of linear combinations of idempotents},
url = {http://eudml.org/doc/285133},
volume = {180},
year = {2007},
}
TY - JOUR
AU - Hong-Ke Du
AU - Chun-Yan Deng
AU - Mostafa Mbekhta
AU - Vladimír Müller
TI - On spectral properties of linear combinations of idempotents
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 3
SP - 211
EP - 217
AB - Let P,Q be two linear idempotents on a Banach space. We show that the closedness of the range and complementarity of the kernel (range) of linear combinations of P and Q are independent of the choice of coefficients. This generalizes known results and shows that many spectral properties of linear combinations do not depend on their coefficients.
LA - eng
KW - linear idempotent; Banach space; closed range; complemented subspaces
UR - http://eudml.org/doc/285133
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.