Journal of Jilin University Science Edition

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Linear Maps Preserving  q Numerical Range of  Linear Operator

LIU Panpan1, ZHANG Shugong1, LI Qingchun2   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China
  • Received:2013-02-01 Online:2013-11-26 Published:2013-11-21
  • Contact: ZHANG Shugong E-mail:sgzh@mail.jlu.edu.cn

Abstract:

The linear maps preserving numerical range of linear operators were considered, and under certain conditions, the forms of linear maps  preserving q numerical range on block diagonal matrices, block upper triangular matrices, and general block matrices were given, respectively.

Key words: generalized numerical range, q numerical range, linear preserver problem, block operator matrix

CLC Number: 

  • O177.1