An F-space with trivial dual
and nontrivial compact endomorphisms

Nigel J. Kalton and Joel H. Shapiro

 

Israel J. Math 20 (1975), 282--291.
 
Abstract: We use Hardy spaces to construct the first example of an F-space that has trivial dual (i.e. no finite-rank endomorphisms) but supports nontrivial compact endomorphisms.
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