Orthogonal Projection of an Infinite Round Cone in Real Hilbert Space
Functional Analysis
2015-06-30 v2
Abstract
We fully characterize orthogonal projections of infinite right circular (round) cones in real Hilbert spaces. Another interpretation is that, given two vectors in a real Hilbert space, we establish the optimal estimate on the angle between the orthogonal projections of the two vectors. The estimate depends on the angle between the two vectors and the position of only one of the two vectors. Our results also make a contributions to Cauchy-Bunyakovsky-Schwarz type inequalities.
Keywords
Cite
@article{arxiv.1402.2952,
title = {Orthogonal Projection of an Infinite Round Cone in Real Hilbert Space},
author = {Mate Kosor},
journal= {arXiv preprint arXiv:1402.2952},
year = {2015}
}