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Entropy Numbers of Weighted Shifts

✍ Scribed by A.A.W. Mehanna

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 83 KB
Volume: 262
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7529

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✦ Synopsis

The main object of this paper is to establish a lower bound of the entropy numbers for powers of weighted shift operators on p spaces, 1 ≤ p ≤ ∞, and we obtain some results of Pietsch. Furthermore, we get an interesting inequality between entropy numbers and s numbers of these shifts and, as a simple application of this inequality, we have, for q ∈ 0 ∞ , that the two operator ideals E e q p p and S s q p p are identical.

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