A characterization of the Euclidean space

M. Zippin

doi:10.1016/S0024-3795(01)00451-7

A characterization of the Euclidean space

M. Zippin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We characterize the Euclidean space ℓ ⁿ ₂ among n-dimensional normed spaces by means of the behavior of the operators I-P-P ^T, where P is a projection.

Original language	English
Pages (from-to)	3-6
Number of pages	4
Journal	Linear Algebra and Its Applications
Volume	361
DOIs	https://doi.org/10.1016/S0024-3795(01)00451-7
State	Published - 1 Mar 2003

Keywords

Euclidean space
Normed space
Projections

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10.1016/S0024-3795(01)00451-7

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title = "A characterization of the Euclidean space",

abstract = "We characterize the Euclidean space ℓ n 2 among n-dimensional normed spaces by means of the behavior of the operators I-P-P T, where P is a projection.",

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A characterization of the Euclidean space

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Keywords

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