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Listar por palabra clave "Frechet spaces"

Mostrando ítems 1-9 de 9

Every separable complex Fréchet space with a continuous norm is isomorphic to a space of holomorphic functions

Bonet Solves, José Antonio (Canadian Mathematical Society, 2021)

[EN] Extending a result of Mashreghi and Ransford, we prove that every complex separable infinite-dimensional Frechet space with a continuous norm is isomorphic to a space continuously included in a space of holomorphic ...
Frames and representing systems in Fréchet spaces and their duals

Bonet Solves, José Antonio; Fernandez Rosell, Carmen; Galbis Verdu, Antonio; Ribera Puchades, Juan Miguel (Duke University Press, 2017)

[EN] Frames and Bessel sequences in Fr\'echet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to ...
Frechet spaces of general Dirichlet series

Defant, Andreas; Fernández Vidal, Tomás; Schoolmann, Ingo; Sevilla Peris, Pablo (Springer-Verlag, 2021-07)

[EN] Inspired by a recent article on Frechet spaces of ordinary Dirichlet series Sigma a(n)n(-s) due to J. Bonet, we study topological and geometrical properties of certain scales of Frechet spaces of general Dirichlet ...
Invariant subspaces of the integration operators on Hörmander algebras and Korenblum type spaces

Bonet Solves, José Antonio; Galbis, Antonio (Springer-Verlag, 2020-07-27)

[EN] We describe the proper closed invariant subspaces of the integration operator when it acts continuously on countable intersections and countable unions of weighted Banach spaces of holomorphic functions on the unit ...
The Cesàro operator on Korenblum type spaces of analytic functions

Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J. (Springer-Verlag, 2018)

[EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open ...
THE FRECHET SCHWARTZ ALGEBRA OF UNIFORMLY CONVERGENT DIRICHLET SERIES

Bonet Solves, José Antonio (Cambridge University Press, 2018)

[EN] 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 ...
The spectrum of Volterra operators on Korenblum type spaces of analytic functions

Bonet Solves, José Antonio (Springer-Verlag, 2019-10)

[EN] The continuity, compactness and the spectrum of the Volterra integral operator V-g with symbol an analytic function g, when acting on the classical Korenblum space and other related weighted Frechet or (LB) spaces of ...
Uniform mean ergodicity of C0-semigroups in a class of Fréchet spaces

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph (Adam Miekiewicz University. Faculty of Mathematics and Computer Science, 2014)

[EN] Let (T(t))t>0 be a strongly continuous C0-semigroup of bounded linear operators on a Banach space X such that limt→∞ kT(t)/tk = 0. Characterizations of when (T(t))t>0 is uniformly mean ergodic, i.e., of when its ...
Weighted composition operators on Korenblum type spaces of analytic functions

Gomez-Orts, Esther (Springer-Verlag, 2020-09-05)

[EN] We investigate the continuity, compactness and invertibility of weighted composition operators W-psi,W-phi: f -> psi(f circle phi) when they act on the classical Korenblum space A(-infinity) and other related Frechet ...