The spectra and eigenvectors for the weighted mean matrix operator

Abstract

In this paper, first we give conditions under which the weighted mean matrix operator is bounded on the weighted Hardy spaces, and we characterize the spectrum of the weighted mean matrix operator acting on some sequence spaces. Then we investigate eigenvectors of weighted mean matrix operator.

Keywords

• Weighted Hardy spaces
• Spectrum
• Weighted mean matrix operator
• Eigenvalue
• Eigenvector