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Some properties of sequence spaces
by
Fernando Blasco
Universidad Politécnica de Madrid
Sequence spaces have been studied by different authors. In this talk we are particularly interested in quasinormable sequence spaces. After recalling the definition of a X-Köthe echelon space (a class of spaces which includes as a particular case the classical Köthe echelon spaces \lambdap(A)), we study several characterizations of quasinormable X-Köthe echelon spaces, obtaining conditions which are similar to different characterizations of quasinormable spaces \lambdap(A).
Next we expose another result concerning quasinormability on vector valued sequence spaces. Finally, we give some applications and related results.
(T)
Date received: April 12, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caey-22.