Linear maps preserving signed permutation and substochastic matrices

Yamin Sayyari (), Ahmad Mohammadhasani and Mehdi Dehghanian ()
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Yamin Sayyari: Sirjan University Of Technology
Ahmad Mohammadhasani: Sirjan University Of Technology
Mehdi Dehghanian: Sirjan University Of Technology

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 219-223

Abstract: Abstract Let $${\mathcal {E}}=\mathbf{S_n}$$ E = S n (resp. $${\mathcal {E}}=\mathbf{D_sS_n}$$ E = D s S n ) be the group of all $$n\times n$$ n × n signed permutation matrices (resp. the collection of all $$n\times n$$ n × n generalized substochastic matrices). In this paper we characterize those linear maps T on the linear span of $${\mathcal {E}}$$ E that satisfy $$T({\mathcal {E}})={\mathcal {E}}$$ T ( E ) = E .

Keywords: Signed permutation matrix; Generalized substochastic matrix; Linear preserver.; 20B05; 15A04; 15A86 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00245-6

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