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Bounds for the distance to finite-dimensional subspaces

Published online by Cambridge University Press:  17 April 2009

S. S. Dragomir
S. S. Dragomir
Affiliation:
School of Computer Science and Mathematics Victoria University of Technology, PO Box 14428, MCMC, Vic 8001, Australia e-mail: sever@csm.vu.edu.au
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 3 , December 2005 , pp. 337 - 347
Copyright
Copyright © Australian Mathematical Society 2005

References

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