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POWERS OF OPERATORS DOMINATED BY STRICTLY SINGULAR OPERATORS

✍ Scribed by Flores, J.; Hernandez, F. L.; Tradacete, P.


Book ID
121452117
Publisher
Oxford University Press
Year
2007
Tongue
English
Weight
141 KB
Volume
59
Category
Article
ISSN
0033-5606

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πŸ“œ SIMILAR VOLUMES


Unbounded strictly singular operators
✍ R.W. Cross πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science βš– 181 KB

Let T: D(T) CX--, Y be an unbounded linear operator where X and Y are normed spaces. It is shown that if Y is complete then T is strictly singular if and only if T is the sum of a continuous strictly singular operator and an unbounded finite rank operator. A counterexample is constructed for the cas