Ebrahim Pazouki, B. Yousefi
Abstract
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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.
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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.
Key concepts: Mathematics, Eigenvalues and eigenvectors, Spectrum (functional analysis), Operator (biology), Finite-rank operator, Bounded function, Matrix (chemical analysis), Compact operator