An operator corona theorem for a class of subspaces of H∞
Sasane, A.
(2006).
An operator corona theorem for a class of subspaces of H∞.
(CDAM research report series LSE-CDAM-2006-02).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
(2006).
An operator corona theorem for a class of subspaces of H∞.
(CDAM research report series LSE-CDAM-2006-02).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
Let E;E be separable Hilbert spaces. If S is an open subset of T, then AS(L(E;E)) denotes the space of all functions f : D [ S ! L(E;E) that are holomorphic in D, and bounded and continuous on D [ S. In this article we prove the following main results: 1. A theorem concerning the approximation of f 2 AS(L(E;E)) by a function F that is holomorphic in a neighbourhood of D[S and such that the error F