5 citations · 15 across the 9 of their papers we have counts for
4 papers · 1 filter
Reducibility of invertible tuples to the principal component in commutative Banach algebras
Raymond Mortini, Rudolf Rupp
Let be a complex, commutative unital Banach algebra. We introduce two notions of exponential reducibility of Banach algebra tuples and present an analogue to the Corach-Suárez…
On the Bezout equation in the ring of periodic distributions
Rudolf Rupp, Amol Sasane
A corona type theorem is given for the ring R of periodic distributions in R^d in terms of the sequence of Fourier coefficients of these distributions, which have at most polynomia…
Logarithms and exponentials in Banach algebras
Raymond Mortini, Rudolf Rupp
Let be a complex Banach algebra. If the spectrum of an invertible element does not separate the plane, then admits a logarithm. We present two elementary proofs of…
The Bass and topological stable ranks for algebras of almost periodic functions on the real line
Raymond Mortini, Rudolf Rupp
Let be a sub-semigroup of the reals. We show that the Bass and topological stable ranks of the algebras of almost periodic funct…