A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Linear maps preserving rank of tensor products of matrices
2014
Linear and multilinear algebra
Preserved Fulltext
Let Mn be the algebra of all n × n complex matrices. We characterize linear maps φ : Mm 1 ···m l → Mm 1 ···m l satisfying rank (φ (A1 ⊗ · · · ⊗ A l )) = rank (A1 ⊗ · · · ⊗ A l ) for all A k ∈ Mm k , k = 1, . . . , l. 2010 Math. Subj. Class.: 15A03, 15A69, 15A86.
doi:10.1080/03081087.2013.869589
fatcat:zuvqmlwrizfe7a46fr4ofacxga