On High-power Operator Inequalities and Spectral Radii of Operators | Zendy

Chia-Shiang Lin | Zendy; Sever S Dragomir | Zendy

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On High-power Operator Inequalities and Spectral Radii of Operators

Author(s) -

Chia-Shiang Lin,

Sever S Dragomir

Publication year - 2006

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1166642108

Subject(s) - mathematics , operator (biology) , inequality , hilbert space , quasinormal operator , multiplication operator , pure mathematics , power (physics) , compact operator , finite rank operator , algebra over a field , mathematical analysis , banach space , computer science , physics , extension (predicate logic) , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , programming language

For some different types of operators on a Hilbert space, we present new highpower operator inequalities, and their corresponding operator inequalities involving spectral radii of operators. In particular, we show that Halmos’ two operator inequalities, Reid’s inequality and many others hold easily. In applications we obtain a n

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