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Autumn 2018 Projections and isolated points of parts of the spectrum
Pietro Aiena, Salvatore Triolo
Adv. Oper. Theory 3(4): 868-880 (Autumn 2018). DOI: 10.15352/aot.1804-1348

Abstract

‎‎In this paper‎, ‎we relate the existence of certain projections‎, ‎commuting with a bounded linear operator $T\in L(X)$ acting on Banach space $X$‎, ‎with the generalized Kato decomposition of $T$‎. ‎We also relate the existence of these projections with some properties of the quasi-nilpotent part $H_0(T)$ and the analytic core $K(T)$‎. ‎Further results are given for the isolated points of some parts of the spectrum‎.

Citation

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Pietro Aiena. Salvatore Triolo. "Projections and isolated points of parts of the spectrum." Adv. Oper. Theory 3 (4) 868 - 880, Autumn 2018. https://doi.org/10.15352/aot.1804-1348

Information

Received: 17 April 2018; Accepted: 13 July 2018; Published: Autumn 2018
First available in Project Euclid: 27 July 2018

zbMATH: 06946384
MathSciNet: MR3856179
Digital Object Identifier: 10.15352/aot.1804-1348

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

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.3 • No. 4 • Autumn 2018
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