Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Topological stable rank of H (a)(Omega) for circular domains Omega
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2010 (English)In: Analysis Mathematica, ISSN 0133-3852, E-ISSN 1588-273X, Vol. 36, no 4, 287-297 p.Article in journal (Refereed) Published
Abstract [en]

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.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-27693DOI: 10.1007/s10476-010-0403-yISI: 000284329300003Scopus ID: 2-s2.0-78549255949OAI: oai:DiVA.org:kth-27693DiVA: diva2:380245
Note
QC 20101221Available from: 2010-12-21 Created: 2010-12-20 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Sasane, Amol
By organisation
Optimization and Systems Theory
In the same journal
Analysis Mathematica
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 23 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf