Title of article
Quasi-reflexive Fréchet spaces and mean ergodicity
Author/Authors
Piszczek، نويسنده , , Krzysztof، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
10
From page
224
To page
233
Abstract
We characterize quasi-reflexive Fréchet spaces with a basis in terms of the properties of this basis. As a consequence we prove that a Fréchet space with a basis is quasi-reflexive of order one if and only if for every power bounded operator T, either T or T ′ is mean ergodic.
Keywords
Fréchet space , Mean ergodic operator , Schauder basis , Power bounded operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560619
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