Extension of operators from subspaces of c 0 ( Γ ) c_ 0(Gamma ) into C ( K ) C(K) spaces Academic Article uri icon


  • It is shown that for every ε> 0, every bounded linear operator T from a subspace X of C0(Γ) into a C(K) space has an extension T from C0(Γ) into the C(K) space such that ||T|| ≤ (1 + ε)||T||. Even when Γis countable, T is compact, and X has codimension 1 in Cq, the “ε” cannot be replaced by 0. These results answer questions raised by J. Lindenstrauss and A. Pelczynski in 1971. © 1989 American Mathematical Society.

author list (cited authors)

  • Johnson, W. B., & Zippin, M.

citation count

  • 8

complete list of authors

  • Johnson, WB||Zippin, M

publication date

  • March 1989