Topological stable rank of H (a)(Omega) for circular domains Omega
2010 (English)In: Analysis Mathematica, ISSN 0133-3852, E-ISSN 1588-273X, Vol. 36, no 4, 287-297 p.Article in journal (Refereed) Published
Let Omega be a circular domain, that is, an open disk with finitely many closed disjoint disks removed. Denote by H (a)(Omega) the Banach algebra of all bounded holomorphic functions on Omega, with pointwise operations and the supremum norm. We show that the topological stable rank of H (a)(Omega) is equal to 2. The proof is based on Suarez's theorem that the topological stable rank of H (a)(D) is equal to 2, where D is the unit disk. We also show that for circular domains symmetric to the real axis, the Bass and topological stable ranks of the real-symmetric algebra H (a"e) (a) (Omega) are 2.
Place, publisher, year, edition, pages
2010. Vol. 36, no 4, 287-297 p.
IdentifiersURN: urn:nbn:se:kth:diva-27693DOI: 10.1007/s10476-010-0403-yISI: 000284329300003ScopusID: 2-s2.0-78549255949OAI: oai:DiVA.org:kth-27693DiVA: diva2:380245
QC 201012212010-12-212010-12-202010-12-21Bibliographically approved