Subalgebras of little Lipschitz algebras. (English) Zbl 0846.54013

Weaver, Nik

Pac. J. Math. 173, No. 1, 283-293 (1996).

We present a version of the Stone-Weierstrass theorem for \(\text{lip} (X)\) and use it to characterize the closed subalgebras of \(\text{lip} (X)\) which contain the constant functions.

Reviewer: N.Weaver (Santa Barbara)

MSC:

54C35

Function spaces in general topology

Keywords:

Stone-Weierstrass theorem