Abstract:
In this paper, we give a condition under which a bounded linear operator on a
complex Banach space has Single Valued Extension Property (SVEP) but does not have decomposition
property (±). We also discuss the analytic core, decomposability and SVEP of composition
operators CÁ on lp (1 · p < 1) spaces. In particular, we prove that if Á is onto but not one-one
then CÁ is not decomposable but has SVEP. Further, it is shown that if Á is one-one but not onto
then CÁ does not have SVEP.