Linear operators preserving the (p,q)-numerical range |
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Authors: | Chi-Kwong Li Bit-Shun Tam Nam-Kiu Tsing |
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Institution: | Department of Mathematics University of Wisconsin Madison, Wisconsin 53706, USA;Department of Mathematics Tamkang University Tamsui, Taiwan 25137, Republic of China;Department of Algebra, Combinatorics and Analysis Auburn University Auburn, Alabama 36849, USA |
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Abstract: | Let and denote respectively the space of n×n complex matrices and the real space of n×n hermitian matrices. Let p,q,n be positive integers such that p?q?n. For , the (p,q)-numerical range of A is the set , where Cp(X) is the pth compound matrix of X, and Jq is the matrix Iq?On-q. Let denote n or . The problem of determining all linear operators T: → such that is treated in this paper. |
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