Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LINEAR OPERATORS THAT PRESERVE BOOLEAN RANKS

  • Song, Seok-Zun (Department of Mathematics Cheju National University) ;
  • Hong, Sung-Min (Department of Mathematics Gyeongsang National University) ;
  • Jun, Young-Bae (Department of Mathematics Gyeongsang National University) ;
  • Kim, Seon-Jeong (Department of Mathematics Gyeongsang National University)
  • Published : 1999.02.01
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Abstract

We consider the Boolean linear operators that preserve Boolean rank and obtain some characterizations of the linear operators which extend the results in [1].

Keywords

References

  1. Linear Algebra Appl v.59 Boolean-rank-preserving operators and Boolean-rank spaces L. B. Beasley;N. J. Pullman
  2. Linear and Multilinear Algebra v.31 A comparison of nonnegative real ranks and their preservers L. B. Beasley;S. Z. Song
  3. Linear and Multilinear Algebra v.36 Linear operators that preserve maximal column rank of Boolean matrices S. G. Hwang;S. Z. Kim;S. Z. Song
  4. Pacific J. Math. v.9 Transformations on tensor product spaces M. Marcus;B. Moyls
  5. Proc. Amer. Math. Soc. v.119 no.4 Linear operator that preserves column rank of Boolean matrices S. Z. Song