On the one spectral relation for the analytic function of operator
Volume 15, Issue 4, pp 301--307
https://doi.org/10.22436/jnsa.015.04.05
Publication Date: December 29, 2022
Submission Date: August 10, 2022
Revision Date: September 20, 2022
Accteptance Date: November 12, 2022
Authors
Z. I. Ismailov
- Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey.
E. O. Cevik
- Department of Computer Engineering, Faculty of Engineering and Architecture, Avrasya University, Trabzon, Turkey.
Abstract
In this work, some estimates for the difference number between the operator norm and the spectral radius of analytic functions of linear bounded Hilbert space operators via difference numbers of powers of corresponding Hilbert space operators have been obtained. Firstly, these evaluations for the polynomial functions of the linear bounded Hilbert space operator have been established. Using previous results, this question was later investigated for the exponential, sine, and cosine functions of a given operator. Finally, starting from obtained results, this subject for the analytic functions of the linear bounded Hilbert space operator has been generalized.
Share and Cite
ISRP Style
Z. I. Ismailov, E. O. Cevik, On the one spectral relation for the analytic function of operator, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 4, 301--307
AMA Style
Ismailov Z. I., Cevik E. O., On the one spectral relation for the analytic function of operator. J. Nonlinear Sci. Appl. (2022); 15(4):301--307
Chicago/Turabian Style
Ismailov, Z. I., Cevik, E. O.. "On the one spectral relation for the analytic function of operator." Journal of Nonlinear Sciences and Applications, 15, no. 4 (2022): 301--307
Keywords
- Operator norm
- spectral radius
- analytic functions of operator
MSC
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