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Existence of complete vector topologies with prescribed conditions

โœ Scribed by Cleon S. Barroso; Cicero Mota


Publisher
Springer
Year
2009
Tongue
English
Weight
203 KB
Volume
94
Category
Article
ISSN
0003-889X

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โœ Shamim I. Ansari ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 261 KB

The present paper introduces a very simple, but very useful notion of the so called quasi-extension of l 1 -operators and proves that a large class of topological vector spaces admit continuous hypercyclic operators. In particular, it answers in the affirmative a question of S. Rolewicz, posed in 19