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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.

Ebrahim Pazouki, Bahmann Yousef. (2018) Cyclic Vector of the Weighted Mean Matrix Operator, Punjab University Journal of Mathematics, Volume 50, Issue 1.
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