Bulletin of the Australian Mathematical
Society
Bull. Austral. Math. Soc.
0004-9727
ALNBAB
2005
72
3
10.wxyz/CV72P3
http://www.austms.org.au/Publ/Bulletin/V72P3/
Bounds for the distance to finite-dimensional
subspaces
S.S.
Dragomir
13 February 2006
2006
2
13
337
347
723-5020-Dragomir-2005
10.wxyz/C2005V72P3p337
http://www.austms.org.au/Publ/Bulletin/V72P3/723-5020-Dragomir/
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.
46C05, 26D15
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