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   Articles with "tingley problem" as a keyword



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Low rank compact operators and Tingley's problem

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recommendations! Published in 2018 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2018.08.018

Abstract: Let $E$ and $B$ be arbitrary weakly compact JB$^*$-triples whose unit spheres are denoted by $S(E)$ and $S(B)$, respectively. We prove that every surjective isometry $f: S(E) \to S(B)$ admits an extension to a surjective… read more here.

Keywords: isometry; low rank; compact operators; tingley problem ... See more keywords
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Tingley's problem on finite von Neumann algebras

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recommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.02.013

Abstract: Abstract In this paper, we give an affirmative answer to Tingley's problem between finite von Neumann algebras. To do this, we see that every norm closed proper face of the unit ball of a unital… read more here.

Keywords: tingley problem; neumann algebras; problem finite; finite von ... See more keywords
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Tingley's problem through the facial structure of an atomic JBW⁎-triple

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recommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.06.002

Abstract: Abstract We prove that every surjective isometry between the unit spheres of two atomic JBW⁎-triples E and B admits a unit extension to a surjective real linear isometry from E into B. This result constitutes… read more here.

Keywords: atomic jbw; problem facial; facial structure; tingley problem ... See more keywords
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A reflection on Tingley's problem and some applications

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recommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.03.041

Abstract: Abstract In this paper we show how some metric properties of the unit sphere of a normed space can help to approach a solution to Tingley's problem. In our main result we show that if… read more here.

Keywords: strictly convex; applications reflection; reflection tingley; tingley ... See more keywords