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Martín Peinador, Elena (1990) Some summability properties of operators on a separable Banach space. Archiv der Mathematik, 55 (6). pp. 584-587. ISSN 0003-889X
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Official URL: http://link.springer.com/article/10.1007%2FBF01191694#
Abstract
It is a well known fact that operators on a separable Hilbert space H giving norm-summability on an orthonormal basis have to be nuclear (Holub 1972) and operators giving summability on an orthonormal basis must be Hilbert-Schmidt. In former papers the author characterizes all the sequences of H that in this respect behave as orthonormal basis, and in the present paper those results are in some way, generalized to a separable Banach space.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Compact operator; nuclear operator; absolutely summable sequence; norm-summability on an orthonormal basis; Hilbert-Schmidt |
| Subjects: | Sciences > Mathematics > Topology |
| ID Code: | 21824 |
| Deposited On: | 12 Jun 2013 16:46 |
| Last Modified: | 12 Dec 2018 15:13 |
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