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Bounds for the distance to finite-dimensional subspaces

Dragomir, Sever S (2005) Bounds for the distance to finite-dimensional subspaces. Bulletin of the Australian Mathematical Society, 72 (3). pp. 337-347. ISSN 0004-9727

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Abstract

We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces and improve some generalisations of Bessel’s inequality obtained by Boas, Bellman and Bombieri. Refinements of the Hadamard inequality for Gram determinants are also given.

Item Type: Article
Uncontrolled Keywords: ResPubID9376, Bessel’s inequality, Hadamard inequality, upper bounds
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 20 Mar 2012 03:39
Last Modified: 20 Mar 2012 03:39
URI: http://vuir.vu.edu.au/id/eprint/2731
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Citations in Scopus: 0 - View on Scopus

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