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Shrinking and boundedly complete Schauder frames in Fréchet spaces

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Shrinking and boundedly complete Schauder frames in Fréchet spaces

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Bonet Solves, JA.; Fernandez, C.; Galbis, A.; Ribera Puchades, JM. (2014). Shrinking and boundedly complete Schauder frames in Fréchet spaces. Journal of Mathematical Analysis and Applications. 410(2):953-966. doi:10.1016/j.jmaa.2013.09.010

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/38326

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Title: Shrinking and boundedly complete Schauder frames in Fréchet spaces
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
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Abstract:
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 ...[+]
Subjects: Atomic decomposition , Schauder basis , Schauder frame , Fréchet spaces , (LB)-spaces , Reflexivity , Locally convex spaces , Shrinking , Boundedly complete
Copyrigths: Reserva de todos los derechos
Source:
Journal of Mathematical Analysis and Applications. (issn: 0022-247X )
DOI: 10.1016/j.jmaa.2013.09.010
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.jmaa.2013.09.010
Thanks:
This research was partially supported by MEC and FEDER Project MTM2010-15200 and GVA Prometeo II/2013/013. The authors are thankful to D. Freeman for pointing out several relevant references to them. They also want to thank ...[+]
Type: Artículo

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