Title of article
Riesz operators and the complete norm topology
Author/Authors
M. Oudghiri، نويسنده , , M. Zohry، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
6
From page
663
To page
668
Abstract
We show that a non-injective Riesz operator on an infinite-dimensional Banach space X does not
determine the complete norm topology of X. We also show that an injective operator with trivial
generalized range determines the complete norm topology of X. Finally this result is used to settle
the crucial role of the non-injectivity condition in our first result.
2004 Elsevier Inc. All rights reserved
Keywords
Riesz operator , Decomposability , Uniqueness of complete norm topology
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933892
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