SYMMETRIC MATRICES, SKEWSYMMETRIC MATRICES, AND HERMITIAN MATRICES. SOME LINEAR PRESERVER PROBLEMS
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Sarria Zapata, H. (2024). SYMMETRIC MATRICES, SKEWSYMMETRIC MATRICES, AND HERMITIAN MATRICES. SOME LINEAR PRESERVER PROBLEMS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 26(99), 261–270. https://doi.org/10.18257/raccefyn.26(99).2002.2726

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Abstract

The central theorem in this paper characterizes linear transformations preserving both symmetric and skew-symmetric complex matrices. We also give some characterizations for complex orthogonal and unitary transformations preserving symmetric or Hermitian matrices.

https://doi.org/10.18257/raccefyn.26(99).2002.2726

Keywords

Symmetric matrices | skewsymmetric matrices | Hermitian matrices | linear preserver problems
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References

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