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Hahn-Banach operators |
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| Authors: | M I Ostrovskii |
| Institution: | Department of Mathematics, University of California, Riverside, California 92521-0135 |
| Abstract: | We consider real spaces only. Definition. An operator 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 |
| Keywords: | Hahn-Banach theorem norm-preserving extension support set |
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between Banach spaces 
and 
is called a Hahn-Banach operator if for every isometric embedding of the space 
into a Banach space 
there exists a norm-preserving extension 
of 
to 
. 
such that there exists a Hahn-Banach operator 
of rank 
. The latter result is a generalization of a recent result due to B. L. Chalmers and B. Shekhtman.