ON THE SPECTRUM OF THE RHALY OPERATORS ON bv0

Title & Authors
ON THE SPECTRUM OF THE RHALY OPERATORS ON bv0
Yildirim, Mustafa;

Abstract
In 1989, Rhaly [4] determined the spectrum of Rhaly operator $\small{R_{a}}$ on the Hilbert space $\small{{\ell}_2}$. In this paper Authors determine the spectrum of the Rhaly matrix $\small{R_{a}}$ as an operator on the space bvo with assumption $0\;<\;L\;=\;lim_n(n\;+\;1)a_n\;<\;\infty$.
Keywords
Rhaly operator;Cesaro operator;spectrum and point spectrum;
Language
English
Cited by
1.
Spectra of the generalized difference operator on the sequence spaces and h, Linear and Multilinear Algebra, 2017, 1
2.
Fine Spectra of Upper Triangular Double-Band Matrices over the Sequence Space ,, Discrete Dynamics in Nature and Society, 2012, 2012, 1
References
1.
J. Math. Analysis and Aplications, 1987. vol.128. pp.272-286

2.
J. Austral. Math. Soc.(Series A), 1990. vol.48. pp.79-86

3.
Bull. London. Math. Soc., 1985. vol.17. pp.263-267

4.
Bull. London Math. Soc., 1989. vol.21. pp.399-406

5.
Math. Z., 1977. vol.154. pp.1-16

6.
Summability Through Functional Analysis, 1984.

7.
Indian J. pure. appl. Math., 1996. vol.27. 8, pp.779-784