11 citations · 52 across the 22 of their papers we have counts for
7 papers · 1 filter
Partial regularity and t-analytic sets for Banach function algebras
Joel Feinstein, Raymond Mortini
In this note we introduce the notion of -analytic sets. Using this concept, we construct a class of closed prime ideals in Banach function algebras and discuss some problems rel…
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…
Holomorphic injective extensions of functions in P(K) and algebra generators
Raymond Mortini
We present necessary and sufficient conditions on planar compacta and continuous functions on in order that generates the algebras or . We…
Embedding polydisk algebras into the disk algebra and an application to stable ranks
Raymond Mortini
It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra . As a consequence, one obtains uniform closed subalgebras…
The Bass and topological stable ranks of the Bohl algebra are infinite
Raymond Mortini, Rudolf Rupp, Amol Sasane
The Bohl algebra is the ring of linear combinations of functions , where is any nonnegative integer, and is any complex number, with pointwise oper…
The ring of real-valued multivariate polynomials: an analyst's perspective
Raymond Mortini, Rudolf Rupp
In this survey we determine an explicit set of generators of the maximal ideals in the ring of polynomials in variables with real coefficients and gi…
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…