Warianty tytułu
Języki publikacji
Abstrakty
An A-m-Isometry is a bounded linear operaton T on a Hilbert space H satisfying an identity of the form m∑k = 0 (-1)m-k(mk)T∗kATk = 0,where A is a positive (semi-definite) operator. In this paper, we show that the results for the supercyclicity and the hypercyclicity of m-Isometries described in [6, 8] remain true for A-m-Isometries. (original abstract)
Twórcy
autor
- University of Gabes, Tunisia
autor
- King Khalid University, Saudi Arabia
Bibliografia
- Agler J., Stankus M.,m-Isometric Transformations of Hilbert Spaces I, Integral Equations Operator Theory 21 (1995), no. 4, 383-429.
- Agler J., Stankus M.,m-Isometric transformations of Hilbert space II, Integral Equations Operator Theory 23 (1995), no. 1, 1-48.
- Agler J., Stankus M.,m-Isometric transformations of Hilbert space III, Integral Equations Operator Theory 24 (1996), no. 4, 379-421.
- Ansari S.I., Bourdon P.S.,Some properties of cyclic operators, Acta Sci. Math. (Szeged) 63 (1997), 195-207.
- Bayart F., Matheron E.,Hyponornal operators, weighted shifts and weak forms of supe rcyclicity, Proc. Edinb. Math. Soc. (2) 49 (2006), 1-15.
- Bermúdez T., Marrero I., Martinón A.,On the orbit of anm-Isometry, Integral Equations Operator Theory 64 (2009), 487-494.
- Bourdon P.S., Orbits of hyponormal operators, Michigan Math. J. 44 (1997), no. 2,345-353.
- Faghih Ahmadi M., Hedayatian K., Hypercyclicity and supercyclicity ofm-Isometric operators, Rocky Mountain J. Math. 42 (2012), no. 1, 15-23.
- Feldman N.S., N-supercyclic operators, Studia Math. 151 (2002), 149-159.
- Hilden H.M., Wallen L.J., Some cyclic and non-cyclic vectors of certain operators, Indiana Univ. Math. J. 23 (1973/74), 557-565.
- Ben-Israel A., Greville T.N., Generalized Inverses: Theory and Applications, Academic Press, New York, 1973.
- Peris A., Multi-hypercyclic operators are hypercyclic, Math. Z. 236 (2001), no. 4, 779-786.
- Sid Ahmed O.A.M., Saddi A., A-m-Isometric operators in semi-Hilbertian spaces, Linear Algebra Appl. 436 (2012), 3930-3942.
- Suciu L., Quasi-isometries in semi-Hilbertian spaces, Linear Algebra Appl. 430 (2009), 2474-2487.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171621718