Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589836 | Journal of Functional Analysis | 2015 | 14 Pages |
Abstract
The abscissas of convergence, uniform convergence and absolute convergence of vector valued Dirichlet series with respect to the original topology and with respect to the weak topology σ(X,X′)σ(X,X′) of a locally convex space X, in particular of a Banach space X, are compared. The relation of their coincidence with geometric or topological properties of the underlying space X is investigated. Cotype in the context of Banach spaces, and nuclearity and certain topological invariants for Fréchet spaces play a relevant role.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
José Bonet,