We consider the stable rank and connected stable rank for certain non self-adjoint Banach
algebras such as the triangular matrix algebras of all (finite or infinite) triangular
matrices over a unital Banach algebra and certain nest algebras. Also, the stable rank
estimate for certain crossed products of unital Banach algebras by isometries is
obtained.
@article{1302268214,
author = {Sudo, Takahiro},
title = {The stable rank and connected stable rank for certain non self-adjoint Banach algebras},
journal = {Nihonkai Math. J.},
volume = {21},
number = {1},
year = {2010},
pages = { 21-34},
language = {en},
url = {http://dml.mathdoc.fr/item/1302268214}
}
Sudo, Takahiro. The stable rank and connected stable rank for certain non self-adjoint Banach algebras. Nihonkai Math. J., Tome 21 (2010) no. 1, pp. 21-34. http://gdmltest.u-ga.fr/item/1302268214/