Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H∞B:=C+BH∞. That is, we show the equivalence of the classical Corona Condition Σ |fj | > δ> 0 on data f1, …, fn in H∞B and the solvability of the Bezout equation Σ gjfj =1 for g1, …, gn. Estimates on solutions to the Bezout equation are also obtained. We also show that the Bass stable rank of H∞B is 1. Analogous results are obtained also for A(D)B
AbstractWe study the H∞(Bn) Corona problem ∑j=1Nfjgj=h and show it is always possible to find soluti...
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Abstract. Let B be a Blaschke product. We prove in several different ways the corona theorem for the...
Abstract. Let B be a Blaschke product. We prove in several different ways the corona theorem for the...
Abstract. We answer a conjecture of Mortini, Sasane, and Wick concerning a corona theorem for infini...
[NOTE: Text or symbols not renderable in plain text are indicated by [...]. See PDF document for ful...
Abstract. The main result of the paper is that there exist functions f1, f2, f ∈ H ∞ satisfying the ...
AbstractIt is proved that if the functions f, g ϵ H∞, ∥f∥∞ ⩽ 1, ∥g∥∞ ⩽ 1 satisfy the Carleson Corona...
AbstractWe study the H∞(Bn) Corona problem ∑j=1Nfjgj=h and show it is always possible to find soluti...
Given data $f=(f_1,f_2,\dots ,f_n)$ in the holomorphic part $ A= F_+$ of a symmetric Banach\slash to...
We prove a Corona type theorem with bounds for the Sarason algebra H ∞ + C and determine its spectra...
Abstract. We prove corona theorems (with estimates on solutions) for var-ious uniformly closed subal...
ABSTRACT. In this paper we study the problem of when the corona algebra of a non-unital C∗-algebra i...
AbstractWe study the H∞(Bn) Corona problem ∑j=1Nfjgj=h and show it is always possible to find soluti...
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Abstract. Let B be a Blaschke product. We prove in several different ways the corona theorem for the...
Abstract. Let B be a Blaschke product. We prove in several different ways the corona theorem for the...
Abstract. We answer a conjecture of Mortini, Sasane, and Wick concerning a corona theorem for infini...
[NOTE: Text or symbols not renderable in plain text are indicated by [...]. See PDF document for ful...
Abstract. The main result of the paper is that there exist functions f1, f2, f ∈ H ∞ satisfying the ...
AbstractIt is proved that if the functions f, g ϵ H∞, ∥f∥∞ ⩽ 1, ∥g∥∞ ⩽ 1 satisfy the Carleson Corona...
AbstractWe study the H∞(Bn) Corona problem ∑j=1Nfjgj=h and show it is always possible to find soluti...
Given data $f=(f_1,f_2,\dots ,f_n)$ in the holomorphic part $ A= F_+$ of a symmetric Banach\slash to...
We prove a Corona type theorem with bounds for the Sarason algebra H ∞ + C and determine its spectra...
Abstract. We prove corona theorems (with estimates on solutions) for var-ious uniformly closed subal...
ABSTRACT. In this paper we study the problem of when the corona algebra of a non-unital C∗-algebra i...
AbstractWe study the H∞(Bn) Corona problem ∑j=1Nfjgj=h and show it is always possible to find soluti...
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...