R. Mortini

activity

20082025

most citedSpectral Characteristics and Stable Ranks for the Sarason Algebra

H^{\infty} + C

11 citations · 52 across the 22 of their papers we have counts for

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Showing 2008Show all

3 papers · 1 filter

math.CV2008★ 5 cited

Simultaneous Stabilization in $A_{R} (D)$

Raymond Mortini, Brett D. Wick

In this note we study the problem of simultaneous stabilization for the algebra $A_\R(\D)$. Invertible pairs $(f_{j}, g_{j})$ , $j = 1, ..., n$ , in a commutative unital algebra are called \…

math.CA2008★ 10 cited

The Bass and Topological Stable Ranks of $H^\infty_\R(\D)$ and $A_\R(\D)$

Raymond Mortini, Brett D. Wick

In this note we prove that the Bass stable rank of $H^\infty_\R(\D)$ is two. This establishes the validity of a conjecture by S. Treil. We accomplish this in two different ways, on…

math.CV2008★ 3 cited

The Corona theorem and stable rank for the algebra $\mC +BH^\infty$

Raymond Mortini, Amol Sasane, Brett D. Wick

Let $B$ be a Blaschke product. We prove in several different ways the corona theorem for the algebra $H^\infty_B:=\mC+BH^\infty$. That is, we show the equivalence of the classical…

Simultaneous Stabilization in AR​(D)

The Bass and Topological Stable Ranks of $H^\infty_\R(\D)$ and $A_\R(\D)$

The Corona theorem and stable rank for the algebra $\mC +BH^\infty$

Simultaneous Stabilization in $A_{R} (D)$