Cyclic Vector of the Weighted Mean Matrix Operator

Authors

  • Ebrahim Pazouki Mazandaran Management and Planning Organization P. O. Box 48177-87959, Sari, Iran.
  • Bahmann Yousef Department of Mathematics, Payame Noor University P. O. Box 19395-3697, Tehran, Iran.

Keywords:

spectrum, weighted mean operator, eigenvalue, eigenvector

Abstract

In this paper, we first prove cyclicity of bounded diagonal matrix on Hp (β) and we provide some conditions for a weighted mean matrix operator to have eigenvectors. Then we study boundedness of matrix of eigenvectors, diagonalization and cyclicity of the weighted mean matrix operator on the weighted Hardy spaces.

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Published

2018-03-31

Issue

Vol. 50 No. 1 (2018)

Section

Articles

How to Cite

Cyclic Vector of the Weighted Mean Matrix Operator. (2018). Punjab University Journal of Mathematics, 50(1), 76-85. https://pujm.pu.edu.pk/index.php/pujm/article/view/120