Compact lines and the Sobczyk property

Abstract

We show that Sobczyk's Theorem holds for a new class of Banach spaces, namely spaces of continuous functions on linearly ordered compacta.

13 pages

References in corpus (2)

• Complementation in Spaces of Continuous Functions on Compact Lines
• The structure of Valdivia compact lines

Cited by in corpus (3)

• The Gelfand-Phillips property for locally convex spaces
• On the $c_0$-extension property for compact lines
• Extension property and complementation of isometric copies of continuous functions spaces