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Shrinking and boundedly complete Schauder frames in Fréchet spaces

✍ Scribed by Bonet, José; Fernández, Carmen; Galbis, Antonio; Ribera, Juan M.

Book ID
123259747
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
339 KB
Volume
410
Category
Article
ISSN
0022-247X

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## Abstract A Fréchet space __E__ is quasi‐reflexive if, either dim(__E__″/__E__) < ∞, or __E__″[__β__(__E__″,__E__′)]/__E__ is isomorphic to __ω__. A Fréchet space __E__ is totally quasi‐reflexive if every separated quotient is quasi‐reflexive. In this paper we show, using Schauder bases, that __E