SUPERCYCLICITY OF TWO-ISOMETRIES

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 1,  2008, pp.115-118
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.1.115
Title & Authors
SUPERCYCLICITY OF TWO-ISOMETRIES

Abstract
A bounded linear operator T on a complex separable Hilbert space H is called a two-isometry, if $\small{T^{*2}T^2-2T^*T+1=0}$. In this paper it is shown that every two-isometry is not supercyclic. This generalizes a result due to Ansari and Bourdon.
Keywords
supercyclic operators;two-isometries;
Language
English
Cited by
1.
Powers of A-m-Isometric Operators and Their Supercyclicity, Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39, 3, 901
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