Self-inversive Hilbert space operator polynomials with spectrum on the unit circle

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Ito, Naoharu¹  Wimmer, Harald K.² 

[1] Nara Univ Educ, Dept Math Educ, Nara 6308528, Japan

[2] Univ Wurzburg, Math Inst, D-97074 Wurzburg, Germany

关键词: Self-inversive polynomials;    Operator polynomials;    Approximate spectrum;    Numerical range;    Inner numerical radius;    Normal spectral values;   

DOI  :  10.1016/j.jmaa.2015.11.072

来源: Elsevier

【 摘 要 】

Hilbert space operator polynomials with self-inversive structure are studied. If the inner numerical radius of an associated polynomial is greater than or equal to one then the spectrum lies on the unit circle and consists of normal approximate characteristic values. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free