The minimal displacement problem in the space l ∞

Abstract

We give a lower bound for the minimal displacement characteristic in the space ∞ . MSC:47H10, 47H09

Renormings of c0 and the minimal displacement problem

“…It is still unknown if the space l ∞ of all bounded sequences with the sup norm has extremal balls. Very recently Bolibok [1] proved that…”

Retracting a ball onto a sphere in some Banach spaces

“…Indeed, they have proved that ψ X (k) = 1 − 1/k for k > 1 implies k 0 (X) ≤ 30.84 · · · . For more information about minimal displacement problems the reader is referred to [12][13][14][15][16]9,10,17,6].…”