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The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series
Published online by Cambridge University Press: 07 May 2018
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.
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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 4 , November 2018 , pp. 933 - 942
- Copyright
- Copyright © Edinburgh Mathematical Society 2018
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