Linear preservers of row-dense matrices. (English) Zbl 1413.15051

The authors deal with linear preserves problems of row-dense matrices. A rectangular matrix \(A\) is row-dense if there are no zeros between two nonzero entries in its rows. Furthermore \(A\) is a column-dense matrix if \(A^T\) is row-dense. The structure of linear functions \(T:M_{m,n}\mapsto M_{m,n}\) that preserve or strongly preserve row-dense matrices is studied. Conditions for \(T(A)\) to be row-dense when \(A\) is row-dense are provided. In addition, the structure of linear preservers and strong linear preservers of column-dense matrices are considered.


15A86 Linear preserver problems
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