Shrinking and boundedly complete Schauder frames in Fréchet spaces
- Bonet, J. 1
- Fernández, C. 2
- Galbis, A. 2
- Ribera, J.M. 1
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1
Universidad Politécnica de Valencia
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2
Universitat de València
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ISSN: 0022-247X
Datum der Publikation: 2014
Ausgabe: 410
Nummer: 2
Seiten: 953-966
Art: Artikel
Andere Publikationen in: Journal of Mathematical Analysis and Applications
Zusammenfassung
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 and their relation with the reflexivity of the space. We characterize when an unconditional Schauder frame is shrinking or boundedly complete in terms of properties of the space. Several examples of concrete Schauder frames in function spaces are also presented. © 2013 Elsevier Inc.