Browse > Article
http://dx.doi.org/10.14403/jcms.2022.35.1.25

WHICH WEIGHTED SHIFTS ARE M-HYPONORMAL?  

Jee, Yun Hee (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.35, no.1, 2022 , pp. 25-31 More about this Journal
Abstract
Let α = {αn}∞n=0 be a weight sequence and let Wα denote the associated unilateral weighted shift on 𝑙2(Z+). In this paper we will investigate which weighted shift is M-hyponormal.
Keywords
M-hyponormal operator;
Citations & Related Records
연도 인용수 순위
  • Reference
1 S. C. Arora, J. K. Thukral, Conditions implying normality, Tamkang J. Math. 17 (1986), no. 4, 89-92.
2 C. K. Fong, On M-hyponormal operators, Studia Math. 65 (1979), 1-5.   DOI
3 J. S. Ham, S. H. Lee, W. Y. Lee, On M-hyponormal weighted shifts, J. Math. Anal. Appl. 286 (2003), 116-124.   DOI
4 S. V. Phadke, N. K.Thakare, M-hyponormal operators: invariant subspaces and spectral localization, Indian J. Pure Appl. Math. 8 (1977), no. 4, 487-496, 47B20.
5 M. Radjabalipour, On majorization and normality of operators, Proc. Amer. Math. Soc. 62 (1977), no. 1, 105-110, 47B20.   DOI
6 J. G. Stampfli, Analytic extensions and spectral localization, J. Math. Mech. 16 (1966), 287-296.
7 J. G. Stampfli, B. L. Wadhwa, An asymmetric Putnam-Fuglede theorem for dominant operators, Indiana Univ.. Math. J. 25 (1976), 359-365.   DOI
8 B. L. Wadhwa, M-hyponormal operators, Duke Math. J. 41 (1974), 655-660.   DOI
9 S. C. Arora, R. Kumar, M-hyponormal operators, Yokohama Math. J. 28 (1980), 41-44.