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Keywords

Numerical radius, Weighted shift operator, Weighted shift matrix.

Abstract

In this paper, the point spectrum of the real Hermitian part of a weighted shift operator with weight sequence a_1, a_2, . . . , a_n, 1, 1, . . . is investigated and the numerical radius of the weighted shift operator in terms of the weighted shift matrix with weights a_1, a_2, . . . , a_n is formulated explicitly.

abs_vol30_pp944-963.pdf (27 kB)
Abstract

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