Continuity of metric projections onto subspaces and openness of quotient maps on unit balls

A Characterization of (Locally) Uniforml

A Characterization of (Locally) Uniformly Convex Spaces in Terms of Relative Openness of Quotient Maps on the Unit Ball

✍ J. Reif 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Relative openness of quotient maps on the closed unit ball U of a normed linear space X is studied quantitatively. Particularly, it follows from the results that the quotient maps on X associated with the closed linear subspaces of X are equally relatively open on U if and only if X is locally unifo