×

On rank equivalence and rank preserving operators. (English) Zbl 1274.15001

Summary, modified: A. Marková, in 1995, proved a theorem on rank equivalence operators. This theorem is true, but the proof is wrong. In this paper, a new, correct proof of A. Marková’s theorem is presented. The form of generators preserving rank is determined. Also, an interesting example of generator is showed.

MSC:

15A03 Vector spaces, linear dependence, rank, lineability
15A86 Linear preserver problems
PDFBibTeX XMLCite