In this study, some estimates are obtained by means of the number of differences between the operator norm of the analytic functions of the linear bounded Hilbert space operator and the numerical radius, and the difference numbers of the powers of the corresponding Hilbert space operators. Firstly, these evaluations are made for the polynomial functions of the linear bounded Hilbert space operator. Later, this topic is generalized for the analytical functions of the linear bounded Hilbert space operator. In the end, two general results are proved.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Early Pub Date | April 29, 2024 |
Publication Date | April 30, 2024 |
Submission Date | September 21, 2022 |
Acceptance Date | April 29, 2024 |
Published in Issue | Year 2024 Volume: 12 Issue: 1 |