In this note we prove that the Bass stable rank of is two. This establishes the validity of a
conjecture by S. Treil. We accomplish this in two different ways, one by giving a direct proof …

We determine the generalized E-stable ranks for the real algebra, C (D) sym, of all complex
valued continuous functions on the closed unit disk, symmetric to the real axis, and its …

This accessible, undergraduate-level text illustrates the role of algebras of holomorphic
functions in the solution of an important engineering problem: the stabilization of a linear …

We determine, via classroom proofs, the maximal ideal space, the Bass stable rank as well
as the topological and dense stable rank of the uniform closure of all complex‐valued …

Let K denote a compact real symmetric subset of C and let AR (K) denote the real Banach
algebra of all real symmetric continuous functions on K which are analytic in the interior K◦ of …

We give necessary and sufficient conditions on pairs of real-symmetric compact sets (K, L)
in\mathbb C^ n, K ⊆\, L, such that every invertible n-tuple of real-symmetric continuous …

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\textit …

We compute the Bass stable rank of the algebra A (K) sym of real-symmetric functions that
are continuous on symmetric compact planar sets K and holomorphic in the interior K∘ of K …

We show that the covering dimension, dimE, of the closure E of the interval]− 1, 1 [in the
spectrum of H∞ equals one. Using Suárezʼs result that dimM (H∞)= 2, we then compute …

Function theory in real Hardy spaces - Raghupathi - 2011 - Mathematische Nachrichten - Wiley
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