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

2004/12/23 by Sever Silvestru Dragomir, Dragomir, Sever Silvestru
Mathematics · #26D15 #46C05 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #math.FA #math.MG #msc:26D15 #msc:46C05

paper · pdf · doi:10.48550/arxiv.math/0412469

arxiv created 2004/12/23 · arxiv updated 2009/12/01

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.

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