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

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

2004-12-23

arxiv.org/abs/math/0412469v1

Mathematics

Metric Geometry

Scientific paper

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.

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