On the one spectral relation for the analytic function of operator

The Journal of Nonlinear Sciences and its Applications

article

Z. I. Ismailov¹  E. O. Cevik² 

[1] Department of Mathematics, Faculty of Sciences, Karadeniz Technical University;Department of Computer Engineering, Faculty of Engineering, Architecture, Avrasya University

关键词: Operator norm;    spectral radius;    analytic functions of operator;   

DOI  :  10.22436/jnsa.015.04.05

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

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.

【 授权许可】

Unknown