Approximation by invertible elements and the generalized E-stable rank for A(D)R and C(D)sym

Authors

  • Raymond Mortini
  • Rudolf Rupp

DOI:

https://doi.org/10.7146/math.scand.a-15180

Abstract

We determine the generalized E-stable ranks for the real algebra, C(D)sym, of all complex valued continuous functions on the closed unit disk, symmetric to the real axis, and its subalgebra A(D)R of holomorphic functions. A characterization of those invertible functions in C(E) is given that can be uniformly approximated on E by invertibles in A(D)R. Finally, we compute the Bass and topological stable rank of C(K)sym for real symmetric compact planar sets K.

Downloads

Published

2011-09-01

How to Cite

Mortini, R., & Rupp, R. (2011). Approximation by invertible elements and the generalized E-stable rank for A(D)R and C(D)sym. MATHEMATICA SCANDINAVICA, 109(1), 114–132. https://doi.org/10.7146/math.scand.a-15180

Issue

Section

Articles