Showing papers by "Vlastimil Pták published in 1977"

On uniform continuity of the spectral radius in Banach algebras

Abstract: We investigate relations between different forms of subadditivity and submultiplicativity of the spectral radius. In particular, we prove that if the spectral radius is uniformly continuous on a Banach algebra, then the algebra is commutative modulo the radical; this confirms a conjecture raised by the second author in [7].