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Unbounded strictly singular operators

✍ Scribed by R.W. Cross

Publisher
Elsevier Science
Year
1988
Weight
181 KB
Volume
91
Category
Article
ISSN
1385-7258

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✦ Synopsis

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 case in which Y is not complete.

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