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
A bounded linear operator T on a complex separable Hilbert space H is called a two-isometry, if $T^{*2}T^2-2T^*T+1 Keywords supercyclic operators;two-isometries; Language English Cited by 1. Powers of A-m-Isometric Operators and Their Supercyclicity, Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39, 3, 901 References 1. J. Agler and M. Stankus, m-isometric transformation of Hilbert space I, Integr. Equ. Oper. Theory, 21(1995), 383-429. 2. S. I. Ansari and P. S. Bourdon, Some properties of cyclic operators, Acta Sci. Math. (Szeged) 63 (1997), 195-207. 3. N. S. Feldman, N-supercyclic operators, Studia Math. 151 (2002), 141-159. 4. N. S. Feldman, The dynamics of cohyponormal operators, Trends in Banach spaces and operator theory (Proc. Conf., Memphis, TN, 2001), 71-85, Amer. Math. Soc., Providence, RI, 2003. 5. K. G. Grosse-Erdmann, Recent developments in hypercyclicity, Rev. R. Acad. Cien. Serie A. Mat. Vol. 79 (2), 2003, 273-289. 6. K. Hedayatian, On cyclicity in the space$H^p({\beta})\$, Taiwanese Journal of Mathematics, Vol. 8, No.3, (2004) 429-442.