R. Mortini

activity

20162018

collaborators

6 papers

math.CV2018

One-component inner functions II

Raymond Mortini, Joseph Cima

We continue our study of the set $I_{c}$ of inner functions $u$ in $H^{\infty}$ with the property that there is $η \in] 0, 1 [$ such that the level set $Ω_u(η):=\{z\in\mathbb D:…

math.CV2017

One-component inner functions

Joseph Cima, Raymond Mortini

We explicitely unveil several classes of inner functions $u$ in $H^{\infty}$ with the property that there is $η \in] 0, 1 [$ such that the level set $Ω_u(η):=\{z\in\mathbb D: |u(z)|<η\}…

math.FA2016

Noncoherent uniform algebras in $C^{n}$

Raymond Mortini

Let $D = D ˉ$ be the closed unit disk in $C$ and $B_{n} = B_{n} ˉ$ the closed unit ball in $C^{n}$ . For a compact subset $K$ in $\math…

math.CV2016

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 $k i (I)$ of every proper ideal $I$ is trivial; that is $$ ki(I):=\displaystyle…

math.AC2016

Unitary stable ranks and norm-one ranks

Raymond Mortini

In the context of commutative $C^{*}$ -algebras we solve a problem related to a question of M. Rieffel by showing that the all-units rank and the norm-one rank coincide with the topol…

math.FA2016

The covering dimension of a distinguished subset of the spectrum $M (H^{\infty})$ of $H^{\infty}$ and the algebra of real-symmetric and continuous functions on $M (H^{\infty})$

Raymond Mortini

We show that the covering dimension, $dim E$ , of the closure $E$ of the interval $] - 1, 1 [$ in the spectrum of $H^{\infty}$ equals one. Using Suárez's result that $dim M (H^{\infty}) = 2$ …

One-component inner functions II

One-component inner functions

Noncoherent uniform algebras in Cn

On the Krull Intersection Theorem in Function Algebras

Unitary stable ranks and norm-one ranks

The covering dimension of a distinguished subset of the spectrum M(H∞) of H∞ and the algebra of real-symmetric and continuous functions on M(H∞)

Noncoherent uniform algebras in $C^{n}$

The covering dimension of a distinguished subset of the spectrum $M (H^{\infty})$ of $H^{\infty}$ and the algebra of real-symmetric and continuous functions on $M (H^{\infty})$