  We 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.
