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math.CV2011
Holomorphic Banach Vector Bundles on the Maximal Ideal Space of H^\infty and the Operator Corona Problem of Sz.-Nagy
Alexander Brudnyi
We establish triviality of some holomorphic Banach vector bundles on the maximal ideal space of the Banach algebra of bounded holomorphic functions on the unit disk with pointwise…
math.CV2011★ 1 cited
Banach-valued Holomorphic Functions on the Maximal Ideal Space of H^\infty
Alexander Brudnyi
We study Banach-valued holomorphic functions defined on open subsets of the maximal ideal space of the Banach algebra H^\infty of bounded holomorphic functions on the unit disk D\s…
math.FA2011
Non-denseness of factorable matrix functions
Alex Brudnyi, Leiba Rodman, Ilya M. Spitkovsky
It is proved that for certain algebras of continuous functions on compact abelian groups, the set of factorable matrix functions with entries in the algebra is not dense in the gro…