Geodesic
On the one spectral relation for the analytic function of operator
Ismailov, Z. I. 1 ; Cevik, E. O. 2
1 Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey
2 Department of Computer Engineering, Faculty of Engineering and Architecture, Avrasya University, Trabzon, Turkey
Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 4, p. 301-307.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.015.04.05
Classification : 47A10, 47A30, 47A60, 47B02
Keywords: Operator norm, spectral radius, analytic functions of operator

Ismailov, Z. I.  1 ; Cevik, E. O.  2

1 Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey
2 Department of Computer Engineering, Faculty of Engineering and Architecture, Avrasya University, Trabzon, Turkey 
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Ismailov, Z. I. ; Cevik, E. O. . On the one spectral relation for the analytic function of operator. Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 4, p. 301-307. doi : 10.22436/jnsa.015.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.04.05/

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