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.


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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


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