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Strictly Singular Embeddings

โœ Scribed by S. Ya. Novikov; E. M. Semenov; F. L. Hernandez


Book ID
110328935
Publisher
Springer US
Year
2002
Tongue
English
Weight
93 KB
Volume
36
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES


Finitely strictly singular embeddings
โœ E. M. Semenov ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 158 KB
Singular Strictly Monotone Functions
โœ A. A. Ryabinin; V. D. Bystritskii; V. A. Il'ichev ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 177 KB
Unbounded strictly singular operators
โœ R.W. Cross ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science โš– 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