2017
DOI: 10.1007/s00039-017-0405-z
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Minkowski Endomorphisms

Abstract: (Duke Math J 162:1895-1922, 2013.

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Cited by 13 publications
(15 citation statements)
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References 39 publications
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“…The claim will follow if for every ǫ > 0, there exists i 0 ∈ I k such that d(E i , E) < ǫ for every i > i 0 , i ∈ I k . Using expression (13) and (12), we obtain easily that this condition is satisfied. Indeed, since the sequence (v i j ) i∈I k tends to v j for every 1 ≤ j ≤ k, the distance, i.e., the angle, between span{v i j } and span{v j } also tends to zero.…”
Section: Appendixmentioning
confidence: 91%
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“…The claim will follow if for every ǫ > 0, there exists i 0 ∈ I k such that d(E i , E) < ǫ for every i > i 0 , i ∈ I k . Using expression (13) and (12), we obtain easily that this condition is satisfied. Indeed, since the sequence (v i j ) i∈I k tends to v j for every 1 ≤ j ≤ k, the distance, i.e., the angle, between span{v i j } and span{v j } also tends to zero.…”
Section: Appendixmentioning
confidence: 91%
“…Since their introduction, Minkowski endomorphisms and their extensions have been widely studied and different representation results have been obtained, usually under further geometric assumptions (see, for instance, [27,48,49,52,53,55,56]). We also point out the recent work by Dorrek [13], who carried out a deep systematic study of Minkowski endomorphisms closing some of the most important conjectures related to them within convex geometry.…”
Section: Introductionmentioning
confidence: 92%
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