The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series. Issue 4 (7th November 2018)
- Record Type:
- Journal Article
- Title:
- The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series. Issue 4 (7th November 2018)
- Main Title:
- The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series
- Authors:
- Bonet, José
- Abstract:
- Abstract: The algebra of all Dirichlet series that are uniformly convergent in the half-plane of complex numbers with positive real part is investigated. When it is endowed with its natural locally convex topology, it is a non-nuclear Fréchet Schwartz space with basis. Moreover, it is a locally multiplicative algebra but not a Q -algebra. Composition operators on this space are also studied.
- Is Part Of:
- Proceedings of the Edinburgh Mathematical Society. Volume 61:Issue 4(2018)
- Journal:
- Proceedings of the Edinburgh Mathematical Society
- Issue:
- Volume 61:Issue 4(2018)
- Issue Display:
- Volume 61, Issue 4 (2018)
- Year:
- 2018
- Volume:
- 61
- Issue:
- 4
- Issue Sort Value:
- 2018-0061-0004-0000
- Page Start:
- 933
- Page End:
- 942
- Publication Date:
- 2018-11-07
- Subjects:
- Dirichlet series -- abscissas of convergence -- Fréchet spaces -- composition operators -- topological algebras
Primary: 46A04 -- Secondary: 30B50 -- 32A05 -- 46A03 -- 46A11 -- 46A45 -- 47B33
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PEM ↗
- DOI:
- 10.1017/S0013091517000438 ↗
- Languages:
- English
- ISSNs:
- 0013-0915
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 22057.xml