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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 523=19, 2015.

Original scientific paper

Orthogonal projection of an infinite round cone in real Hilbert space

Mate Kosor orcid id orcid.org/0000-0003-1495-6524 ; Maritime Department, University of Zadar, 23 000 Zadar, Croatia

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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

Round cone; aperture; projection; angle; reverse Cauchy inequality

Hrčak ID:

145094

URI

https://hrcak.srce.hr/145094

Publication date:

16.9.2015.

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