REDUCED MINIMAL NUMERICAL RANGES OF OPERATORS ON A HILBERT SPACE

Du Hongke; Wang Yueqing; Lu Jianming

doi:10.1016/S0252-9602(09)60010-2

Acta mathematica scientia, Series B >

2009 , Vol. 29 >Issue 1: 94 - 100

DOI: https://doi.org/10.1016/S0252-9602(09)60010-2

Articles

REDUCED MINIMAL NUMERICAL RANGES OF OPERATORS ON A HILBERT SPACE

Du Hongke ,
Wang Yueqing ,
Lu Jianming

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1.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
2.Department of Mathematics and Physics, Chongqing University of Science and Technology, Chong’qing 400042, China

Received date: 2006-11-06

Revised date: 1900-01-01

Online published: 2009-02-20

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Abstract

In this note, the reduced minimal numerical ranges of a bounded linear oper-
ators on a Hilbert space are defined and some of its properties are established.

Key words： Reduced minimum numerical range; maximal numerical range; numerical range

Cite this article

Du Hongke , Wang Yueqing , Lu Jianming . REDUCED MINIMAL NUMERICAL RANGES OF OPERATORS ON A HILBERT SPACE[J]. Acta mathematica scientia, Series B, 2009 , 29(1) : 94 -100 . DOI: 10.1016/S0252-9602(09)60010-2

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