Vol. 108, No. 1, 1983

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The Banach space JT is primary

Alfred David Andrew

Vol. 108 (1983), No. 1, 9–17
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
Authors
Alfred David Andrew