The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series
2018 ◽
Vol 61
(4)
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pp. 933-942
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Keyword(s):
AbstractThe 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 aQ-algebra. Composition operators on this space are also studied.
1992 ◽
Vol 46
(1)
◽
pp. 159-166
1962 ◽
Vol 29
(2)
◽
pp. 333-339
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Keyword(s):
1948 ◽
Vol 15
(4)
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pp. 1033-1042
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Keyword(s):
1962 ◽
Vol 48
(7)
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pp. 1151-1154
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