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Finitely strictly singular embeddings

✍ Scribed by E. M. Semenov

Book ID: 111455107
Publisher: SP MAIK Nauka/Interperiodica
Year: 2010
Tongue: English
Weight: 158 KB
Volume: 81
Category: Article
ISSN: 1064-5624
DOI: 10.1134/s1064562410030129

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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