On a new space consisting of norm maintaining functions

Manuel Norman

In this paper we define a new space, $LH(X,Y)$, consisting of functions $f\in X\subset Y$ (with $X,Y$ normed spaces) such that $\Vert f{\Vert }_X\equiv \Vert f{\Vert }_Y$ (where $\Vert \cdot {\Vert }_X$…