Article ID Journal Published Year Pages File Type
4601579 Linear Algebra and its Applications 2011 9 Pages PDF
Abstract

In this paper, we estimate the stable ranks of a Banach algebra in terms of the stable ranks of its quotient algebra and ideal under the assumption that the quotient map splits. As an application, several results about the Bass and the connected stable ranks of nest algebras are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory