LINEAR MINIMAL RANK PRESERVERS ON INFINITE TRIANGULAR MATRICES

Author:

SŁOWIK R.1

Affiliation:

1. Institute of Mathematics Silesian University of Technology

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference12 articles.

1. [1] L. B. Beasley and T. J. Laffey. Linear operators on matrices: the invariance of rank-k matrices. Linear Algebra Appl. 133 (1990), 175-184.

2. [2] L. B. Beasley and T. J. Laffey. Erratum: “Linear operators on matrices: the invariance of rank-k matrices” [Linear Algebra Appl. 133 (1990), 175-184]. Linear Algebra Appl. 180 (1993), 2.

3. [3] J. J. Chen and Y. J. Tan. Linear operators preserving the minimal rank over a matrix space. J. Fuzhou Univ. Nat. Sci. Ed. 35 (2007), 6-8.

4. [4] W. L. Chooi and M. H. Lim. Linear preservers on triangular matrices. Linear Algebra Appl. 269 (1998), 241-255.

5. [5] H. Cui, J. Hou and X. Zhang. Jordan semi-triple mappings preserving rank and minimal rank. Proceedings of the Third International Workshop on Matrix Analysis, vol. 3. World Academic Union, 2009, pp. 273-276.

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