## 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.

### MSC:

 15A86 Linear preserver problems
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### References:

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