In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation property and we show that not every ideal in such algebras is local.Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentin
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal o...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra c...
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital alge...
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital alge...
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital alge...
AbstractThe main result of this paper is that if F is a closed subset of the unit circle, then (H∞ +...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
AbstractWe introduce several classes of C∗-algebras (using for this local approximations by “nice” C...
AbstractWe introduce several classes of C∗-algebras (using for this local approximations by “nice” C...
It is shown that H∞+C has the Shilov property. In partic-ular any function f in H∞+C vanishing in an...
An ideal on a set X is a nonempty collection of subsets of X which sat-isfies the following conditio...
The problem of resolution of singularities is a major problem in algebraic geometry. Local uniformiz...
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal o...
AbstractLet I be an m-primary integrally closed ideal in a 2-dimensional regular local ring R. Zaris...
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal o...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra c...
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital alge...
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital alge...
Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital alge...
AbstractThe main result of this paper is that if F is a closed subset of the unit circle, then (H∞ +...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
AbstractWe introduce several classes of C∗-algebras (using for this local approximations by “nice” C...
AbstractWe introduce several classes of C∗-algebras (using for this local approximations by “nice” C...
It is shown that H∞+C has the Shilov property. In partic-ular any function f in H∞+C vanishing in an...
An ideal on a set X is a nonempty collection of subsets of X which sat-isfies the following conditio...
The problem of resolution of singularities is a major problem in algebraic geometry. Local uniformiz...
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal o...
AbstractLet I be an m-primary integrally closed ideal in a 2-dimensional regular local ring R. Zaris...
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal o...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra c...