Noninvertibility preservers on Banach algebras
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 3, page 919-921
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topKuzma, Bojan. "Noninvertibility preservers on Banach algebras." Czechoslovak Mathematical Journal 56.3 (2006): 919-921. <http://eudml.org/doc/31077>.
@article{Kuzma2006,
abstract = {It is proved that a linear surjection $\Phi \:\mathcal \{A\}\rightarrow \mathcal \{B\}$, which preserves noninvertibility between semisimple, unital, complex Banach algebras, is automatically injective.},
author = {Kuzma, Bojan},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear preserver; noninvertible element; semisimple Banach algebra; socle; linear preserver; noninvertible element; semisimple Banach algebra; socle},
language = {eng},
number = {3},
pages = {919-921},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Noninvertibility preservers on Banach algebras},
url = {http://eudml.org/doc/31077},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Kuzma, Bojan
TI - Noninvertibility preservers on Banach algebras
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 919
EP - 921
AB - It is proved that a linear surjection $\Phi \:\mathcal {A}\rightarrow \mathcal {B}$, which preserves noninvertibility between semisimple, unital, complex Banach algebras, is automatically injective.
LA - eng
KW - linear preserver; noninvertible element; semisimple Banach algebra; socle; linear preserver; noninvertible element; semisimple Banach algebra; socle
UR - http://eudml.org/doc/31077
ER -
References
top- A Primer on Spectral Theory, Springer-Verlag, New York, 1991. (1991) Zbl0715.46023MR1083349
- 10.4064/sm-109-1-91-100, Stud. Math. 109 (1994), 91–100. (1994) MR1267714DOI10.4064/sm-109-1-91-100
- 10.1090/S0002-9939-03-07192-2, Proc. Amer. Math. Soc. 131 (2003), 3833–3837. (2003) MR1999931DOI10.1090/S0002-9939-03-07192-2
- 10.1090/S0002-9947-96-01428-6, Trans. Amer. Math. Soc. 348 (1996), 13–30. (1996) MR1311919DOI10.1090/S0002-9947-96-01428-6
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.