The Banach space JT is primary

Alfred David Andrew

Vol. 108 (1983), No. 1, 9–17

DOI: 10.2140/pjm.1983.108.9

Abstract

It is proved that for every bounded linear operator U on the James’ tree space JT there is a subspace X ⊂ JT, isometric to JT, such that either U or (I − U) acts isomorphically on X and either UX or (I − U)X is complemented in JT. As a consequence, JT is primary.

Mathematical Subject Classification 2000

Primary: 46B20

Milestones

Received: 14 December 1981

Revised: 9 April 1982

Published: 1 September 1983