Vol. 47, No. 1, 1973

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On the classification of Lindenstrauss spaces

Howard E. Lacey

Vol. 47 (1973), No. 1, 139–145
Abstract

A Lindenstrauss space is a real Banach space X such that its dual x∗ is linearly isometric to L1(μ) for some measure μ. The purpose of this paper is to describe how certain classical types of Lindenstrauss spaces are characterized by mappings from a compact Hausdorff space S into C(S)∗.

Mathematical Subject Classification 2000
Primary: 46E15
Secondary: 46B05
Milestones
Received: 14 December 1971
Revised: 18 January 1973
Published: 1 July 1973
Authors
Howard E. Lacey