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Original scientific paper

Orthogonal projection of an infinite round cone in real Hilbert space

Mate Kosor orcid id ; Maritime Department, University of Zadar, 23 000 Zadar, Croatia

Full text: english pdf 206 Kb

page 13-26

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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.


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

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