Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product Spaces
Metric Geometry
2009-09-29 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.math/0412469,
title = {Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product Spaces},
author = {Sever Silvestru Dragomir},
journal= {arXiv preprint arXiv:math/0412469},
year = {2009}
}