Geodesic
Rank, trace and determinant in Banach algebras: generalized Frobenius and Sylvester theorems
Gareth Braatvedt1 ; Rudolf Brits1 ; Francois Schulz1
1 Department of Pure and Applied Mathematics University of Johannesburg Johannesburg, South Africa
Studia Mathematica, Tome 229 (2015) no. 2, pp. 173-180

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

As a follow-up to a paper of Aupetit and Mouton (1996), we consider the spectral definitions of rank, trace and determinant applied to elements in a general Banach algebra. We prove a generalization of Sylvester's Determinant Theorem to Banach algebras and thereafter a generalization of the Frobenius inequality.
DOI : 10.4064/sm8157-12-2015
Keywords: follow up paper aupetit mouton consider spectral definitions rank trace determinant applied elements general banach algebra prove generalization sylvesters determinant theorem banach algebras thereafter generalization frobenius inequality

Gareth Braatvedt 1 ; Rudolf Brits 1 ; Francois Schulz 1

1 Department of Pure and Applied Mathematics University of Johannesburg Johannesburg, South Africa 
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Gareth Braatvedt; Rudolf Brits; Francois Schulz. Rank, trace and determinant in Banach algebras: generalized Frobenius and Sylvester theorems. Studia Mathematica, Tome 229 (2015) no. 2, pp. 173-180. doi: 10.4064/sm8157-12-2015

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