Add to ORKGAbstract. 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 on data f1,..., fn ∈ H∞B: ∀z ∈ D, n∑ k=1 |fk(z) | ≥ δ> 0, and the solvability of the Bezout equation for g1,..., gn ∈ H∞B: ∀z ∈ D, n∑ k=1 gk(z)fk(z) = 1. Estimates on solutions to the Bezout equation are also obtained. We also show that the Bass stable rank of H∞B is 1. Let A(D)B be the subalgebra of all elements from H∞B having a continuous extension to the closed unit disk D. Analogous results are obtained also for A(D)B. 1
We built a counterexample to the corona theorem for op-erators in H∞(L(H2(Dn−1)) for n ≥ 4, which is...
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the ...
Abstract. We compute the Bass stable rank and the topological stable rank of several convolution Ban...
Abstract. Let B be a Blaschke product. We prove in several different ways the corona theorem for the...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
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...
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...
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 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...
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the ...
Abstract. We compute the Bass stable rank and the topological stable rank of several convolution Ban...
Abstract. Let B be a Blaschke product. We prove in several different ways the corona theorem for the...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
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...
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...
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 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...
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the ...
Abstract. We compute the Bass stable rank and the topological stable rank of several convolution Ban...