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
C-convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-1755-3640
2006 (English)In: International journal of mathematics and mathematical sciences, ISSN 0161-1712, E-ISSN 1687-0425, Vol. 2006Article in journal (Refereed) Published
Abstract [en]

We investigate the concepts of linear convexity and C-convexityin complex Banach spaces. The main result is that any C-convex domain is necessarily linearly convex. This is a complex version of the Hahn-Banach theorem, since it means the following: given a C-convex domain Ω in the Banach space Xand a point p∉Ω, there is a complex hyperplane through p that does not intersect Ω. We also prove that linearly convex domains are holomorphically convex, and that Kergin interpolation can be performed on holomorphic mappings defined in C-convex domains.

Place, publisher, year, edition, pages
Hindawi Publishing Corporation, 2006. Vol. 2006
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-66554DOI: 10.1155/IJMMS/2006/80846OAI: oai:DiVA.org:kth-66554DiVA: diva2:484307
Note
QC 20120203Available from: 2012-01-26 Created: 2012-01-26 Last updated: 2017-12-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Filipsson, Lars

Search in DiVA

By author/editor
Filipsson, Lars
By organisation
Mathematics (Div.)
In the same journal
International journal of mathematics and mathematical sciences
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 54 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