A remark on λ-interwining hyponormal operators

A remark on λ-interwining hyponormal operators

<span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><p>We extend a result concerning λ-commuting normal operators with empty point...

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Bibliographic Details
Main Author: Vasile Lauric
Format: Article
Language:English
Published: Università degli Studi di Catania 2014-10-01
Series:Le Matematiche
Subjects:
lambda commuting operators
hyponormal operators
point spectrum
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1037
Description
Summary:<span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><p>We extend a result concerning λ-commuting normal operators with empty point spectrum. More precisely, we prove that for a hyponormal operator T with empty point spectrum for which there exists a Hilbert-Schmidt operator K such that TK = λKT + μK for some |λ| &lt; 1 and μ ∈ C, implies K = 0.<br /><br /></p></span></span></span><em><span style="font-family: CMMI8; font-size: x-small;"><em><span style="font-family: CMMI8; font-size: x-small;"><em></em></span></em></span><em><span style="font-family: CMMI8; font-size: x-small;"><em><span style="font-family: CMMI8; font-size: x-small;"><em></em></span></em></span></em><em></em></em>
ISSN:0373-3505
2037-5298

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