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