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Some properties of strictly singular operators

✍ Scribed by V. D. Mil'man


Publisher
Springer US
Year
1969
Tongue
English
Weight
127 KB
Volume
3
Category
Article
ISSN
0016-2663

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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