Hahn-Banach operators

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dc.creatorOstrovskii, M. I.
dc.date2002-03-06
dc.date.accessioned2026-07-07T04:46:52Z
dc.date.available2026-07-07T04:46:52Z
dc.descriptionWe consider real spaces only. Definition. An operator $T:X\to Y$ between Banach spaces $X$ and $Y$ is called a Hahn-Banach operator if for every isometric embedding of the space $X$ into a Banach space $Z$ there exists a norm-preserving extension $\tilde T$ of $T$ to $Z$. A geometric property of Hahn-Banach operators of finite rank acting between finite-dimensional normed spaces is found. This property is used to characterize pairs of finite-dimensional normed spaces $(X,Y)$ such that there exists a Hahn-Banach operator $T:X\to Y$ of rank $k$. The latter result is a generalization of a recent result due to B.L. Chalmers and B. Shekhtman.
dc.identifierhttps://arxiv.org/abs/math/0203055
dc.identifierhttp://arxiv.org/abs/math/0203055
dc.identifierProceedings of the American Mathematical Society, Vol. 129 (2001), 2923-2930
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63503
dc.subjectFunctional Analysis
dc.subject46B20; 47A20
dc.titleHahn-Banach operators
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