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Listar por palabra clave "(LB)-spaces"

Mostrando ítems 1-10 de 10

A Note on the Spectrum of Some Composition Operators on Korenblum Type Spaces

Galindo, Pablo; Gomez-Orts, Esther (Springer-Verlag, 2021-05)

[EN] We prove that under some mild conditions on the symbol phi, the spectrum of the corresponding composition operator C-phi on the Korenblum type spaces A_(-alpha) and A(+)(-alpha) contains a closed ball of positive radius.
Atomic decompositions and frames in Fréchet spaces and their duals

Ribera Puchades, Juan Miguel (Universitat Politècnica de València, 2015-05-11)

[EN] The Ph.D. Thesis "Atomic decompositions and frames in Fréchet spaces and their duals" presented here treats different areas of functional analysis with applications. Schauder frames are used to represent an arbitrary ...
Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces

Bonet Solves, José Antonio; Wright, J.D. Maitland (Mathematical Society of Serbia, 2012-12)

[EN] In this note we show that weakly compact operators from a Banach space X into a complete (LB)-space E need not factorize through a reflexive Banach space. If E is a Fréchet space, then weakly compact operators from ...
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 ...
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 ...
Shrinking and boundedly complete Schauder frames in Fréchet spaces

Bonet Solves, José Antonio; FERNANDEZ, C.; GALBIS, A.; Ribera Puchades, Juan Miguel (Elsevier, 2014-02-15)

We study Schauder frames in Fréchet spaces and their duals, as well as perturbation results. We define shrinking and boundedly complete Schauder frames on a locally convex space, study the duality of these two concepts ...
Spaces of Moscatelli type. A survey

Bonet Solves, José Antonio; Fernández, Carmen (Università del Salento, 2011)

[EN] We survey different developments on Fréchet, (LB)-spaces and (LF)-spaces of Moscatelli type, their properties, their applications to find counterexamples to different open problems, relevant examples of smooth function ...
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 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 ...
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 ...