Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product Spaces

Dragomir, Sever S (2005) Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product Spaces. Research report collection, 8 (1).

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
URI https://vuir.vu.edu.au/id/eprint/17419
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords finite-dimensional subspaces, distance, Bessel's inequality, Boas-Bellman's inequality, Bombieri's inequality, Hadamard's inequality, Gram's inequality
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