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May 2017 A note on Weyl-type theorems and restrictions
Lihong Chen, Weigang Su
Ann. Funct. Anal. 8(2): 190-198 (May 2017). DOI: 10.1215/20088752-3784361

Abstract

Let X be a Banach space, let TL(X) be a bounded linear operator, and let Tn be a restriction of T on R(Tn). This article should be viewed as a note on the research work of Carpintero et al. We give here several different proofs for completeness, and we show the relations of T and Tn to a much greater extent. Moreover, we give sufficient conditions for which Weyl-type theorems for T are equivalent to Weyl-type theorems for Tn.

Citation

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Lihong Chen. Weigang Su. "A note on Weyl-type theorems and restrictions." Ann. Funct. Anal. 8 (2) 190 - 198, May 2017. https://doi.org/10.1215/20088752-3784361

Information

Received: 19 April 2016; Accepted: 14 August 2016; Published: May 2017
First available in Project Euclid: 28 January 2017

zbMATH: 1373.47004
MathSciNet: MR3603345
Digital Object Identifier: 10.1215/20088752-3784361

Subjects:
Primary: 47A10
Secondary: 47A11, 47A53, 47A55

Rights: Copyright © 2017 Tusi Mathematical Research Group

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Vol.8 • No. 2 • May 2017
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