5 citations · 15 across the 9 of their papers we have counts for
12 papers
On the Krull Intersection Theorem in Function Algebras
Raymond Mortini, Rudolf Rupp, Amol Sasane
A version of the Krull Intersection Theorem states that for Noetherian domains, the Krull intersection of every proper ideal is trivial; that is $$ ki(I):=\displaystyle…
On a family of pseudohyperbolic disks
Raymond Mortini, Rudolf Rupp
Hyperbolic geometry plays an important role within function theory of the disk. For example, via the Schwarz-Pick Lemma, the isometries of the unit disk with respect to…
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…
The cone and cylinder algebra
Raymond Mortini, Rudolf Rupp
In this exposition-type note we present detailed proofs of certain assertions concerning several algebraic properties of the cone and cylinder algebras. These include a determinati…
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 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…
Corona-type theorems and division in some function algebras on planar domains
Raymond Mortini, Rudolf Rupp
Let be an algebra of bounded smooth functions on the interior of a compact set in the plane. We study the following problem: if satisfy $|f|\leq \sum_{j=…
On two natural extensions of Vinnicombe's metric: their noncoincidence yet equivalence on stabilizable plants over A_+
Rudolf Rupp, Amol Sasane
Let A_+ be the ring of Laplace transforms of complex Borel measures on R with support in [0,+\infty) which do not have a singular nonatomic part. We compare the nu-metric d_{A_+} f…
Topological Stable Rank of for Circular Domains
Raymond Mortini, Rudolf Rupp, Amol Sasane +1
Let be a circular domain, that is, an open disk with finitely many closed disjoint disks removed. Denote by the Banach algebra of all bounded holomorphic function…