Rank, trace and determinant in Banach algebras: generalized Frobenius and Sylvester theorems

• Autorzy: Gareth Braatvedt , Rudolf Brits , Francois Schulz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 15A45: Miscellaneous inequalities involving matrices
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 229
• Numer: 2
• Strony: 173-180

Daty

wydano

2015

Twórcy

autor

Gareth Braatvedt

• Department of Pure and Applied Mathematics, University of Johannesburg, Johannesburg, South Africa

autor

Rudolf Brits

• Department of Pure and Applied Mathematics, University of Johannesburg, Johannesburg, South Africa

autor

Francois Schulz

• Department of Pure and Applied Mathematics, University of Johannesburg, Johannesburg, South Africa

Identyfikatory

DOI

10.4064/sm8157-12-2015