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Linear maps preserving the higher numerical ranges of tensor products of matrices.
- Source :
-
Linear & Multilinear Algebra . Jun2014, Vol. 62 Issue 6, p776-791. 16p. - Publication Year :
- 2014
-
Abstract
- For a positive integer, letbe the set ofcomplex matrices. Supposeare positive integers and. Denote bythe-numerical range of a matrix. It is shown that a linear mapsatisfiesfor allandif and only if there is a unitarysuch that one of the following holds.   For all , ,     and for all , ,where (1)is the identity mapor the transposition map, or (2)andhas the formor. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 62
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 95678859
- Full Text :
- https://doi.org/10.1080/03081087.2013.790386