An operator corona theorem for a class of subspaces of H∞

Sasane, Amol ORCID: 0000-0001-5566-9877 (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, London, UK.

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Abstract

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

Item Type:	Monograph (Report)
Official URL:	http://www.cdam.lse.ac.uk
Additional Information:	© 2006 Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	10 Oct 2008 14:43
Last Modified:	12 Dec 2024 05:43
URI:	http://eprints.lse.ac.uk/id/eprint/13795

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