Operator Norm-Numerical Radius Gaps for Analytic Function of Hilbert Space Operators

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Konuralp Journal of Mathematics
Volume:12 Issue:1
Operator Norm-Numerical Radius Gaps for Analytic Function of Hilbert Space Operators

Operator Norm-Numerical Radius Gaps for Analytic Function of Hilbert Space Operators

Authors : Pembe Ipek Al, Rukiye Öztürk Mert, Zameddin İsmailov

Pages : 80-85

View : 31 | Download : 45

Publication Date : 2024-04-30

Article Type : Research Paper

Abstract :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.
Keywords : Analytic functions of operator, Numerical radius, Operator norm

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.