Anothera pproximationt heoretic characterization of inner product spaces

Dan Amir; Frank Deutsch

doi:10.1090/S0002-9939-1978-0495846-6

Anothera pproximationt heoretic characterization of inner product spaces

Dan Amir, Frank Deutsch

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A normed space E is an inner product space if and only if for every 2-dimensional subspace V and every segment I ⊂ V, the corresponding metric projections satisfy the commutative property PIPV = PyPI.

Original language	English
Pages (from-to)	99-102
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	71
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1978-0495846-6
State	Published - Aug 1978

Keywords

Hilbert space
Inner product space
Metric projection

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abstract = "A normed space E is an inner product space if and only if for every 2-dimensional subspace V and every segment I ⊂ V, the corresponding metric projections satisfy the commutative property PIPV = PyPI.",

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Anothera pproximationt heoretic characterization of inner product spaces

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