On tree structures in Banach spaces

R. E. Harrell and Les Andrew Karlovitz

Vol. 59 (1975), No. 1, 85–91

DOI: 10.2140/pjm.1975.59.85

Abstract

The purpose of this note is to relate the structure of flat Banach spaces to the “trees” of James. Based on this and some recent work of several other authors, we explore a similar relation for two further classes of spaces, namely spaces which are dual to spaces containing a subspace isomorphic to l₁ and spaces which are dual to spaces that are not separable.

Mathematical Subject Classification

Primary: 46B05

Milestones

Received: 17 July 1974

Published: 1 July 1975