## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

If you need an accessible version of this item please contact JSTOR User Support

# Injective Banach Spaces of Continuous Functions

John Wolfe
Transactions of the American Mathematical Society
Vol. 235 (Jan., 1978), pp. 115-139
DOI: 10.2307/1998210
Stable URL: http://www.jstor.org/stable/1998210
Page Count: 25
If you need an accessible version of this item please contact JSTOR User Support
Preview not available

## Abstract

A description is given of the compact Hausdorff spaces $S$ such that the Banach space $C(S)$ of continuous functions on $S$ is a $P_\lambda$-space for $\lambda < 3$ (under the assumption that $S$ satisfies the countable chain condition). The existence of extension operators from $C(X^\ast \backslash X)$ to $C(X^\ast)$ is examined under the assumption that $C(X^\ast)$ is injective where $X^\ast$ is some compactification of a locally compact extremally disconnected Hausdorff space $X$ (if $C(S)$ is injective, $S$ is of this form). Some new examples of injective spaces $C(S)$ are given.

• 115
• 116
• 117
• 118
• 119
• 120
• 121
• 122
• 123
• 124
• 125
• 126
• 127
• 128
• 129
• 130
• 131
• 132
• 133
• 134
• 135
• 136
• 137
• 138
• 139