Biswas, AnimikhLambert, AlanPetrovic, SrdjanWeinstock, Barnet2024-11-142024-11-142008Biswas, Animikh, Alan Lambert, Srdjan Petrovic, and Barnet Weinstock. “On Spectral Radius Algebras” Operators and Matrices 2, no. 2 (2008): 167–76. https://dx.doi.org/10.7153/oam-02-11.https://dx.doi.org/10.7153/oam-02-11http://hdl.handle.net/11603/36920We show how one can associate a Hermitian operator P to every operator A , and we prove that the invertibility properties of P imply the non-transitivity and density of the spectral radius algebra associated to A . In the finite dimensional case we give a complete characterization of these algebras in terms of P . In addition, we show that in the finite dimensional case, the spectral radius algebra always properly contains the commutant of A .10 pagesen-USAttribution-NonCommercial 3.0 Unportedhttps://creativecommons.org/licenses/by-nc/3.0/Text