Normpreserving extensions in subspaces of C(X)

Eggert Briem and Murali Rao

Vol. 42 (1972), No. 3, 581–587

DOI: 10.2140/pjm.1972.42.581

Abstract

If B is a subspace of C(X) and F is a closed subset of X, this note gives sufficient conditions in order that every function in the restriction subspace B|_F has an extension in B with no increase in norm.

Mathematical Subject Classification 2000

Primary: 46E15

Milestones

Received: 10 May 1971

Published: 1 September 1972