If X is a metric space, then ${\cal C}_{X}$ and ${\cal L}_{X}$ denote the semigroups of continuous and Lipschitz mappings, respectively, from X to itself. The relative rank of ${\cal C}_{X}$ modulo ${ ...

It is shown how to construct Lipschitz constants and moduli of continuity for the Chebyshev projection of $C\lbrack 0, 1 \rbrack$ onto the finite-dimensional subspace ...