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2011 A hereditarily indecomposable $ {\mathcal{L}_{\infty}} $-space that solves the scalar-plus-compact problem
Spiros A. Argyros, Richard G. Haydon
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Acta Math. 206(1): 1-54 (2011). DOI: 10.1007/s11511-011-0058-y

Abstract

We construct a hereditarily indecomposable Banach space with dual space isomorphic to 1. Every bounded linear operator on this space is expressible as λI + K, with λ a scalar and K compact.

Citation

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Spiros A. Argyros. Richard G. Haydon. "A hereditarily indecomposable $ {\mathcal{L}_{\infty}} $-space that solves the scalar-plus-compact problem." Acta Math. 206 (1) 1 - 54, 2011. https://doi.org/10.1007/s11511-011-0058-y

Information

Received: 25 March 2009; Revised: 5 February 2010; Published: 2011
First available in Project Euclid: 31 January 2017

zbMATH: 1223.46007
MathSciNet: MR2784662
Digital Object Identifier: 10.1007/s11511-011-0058-y

Subjects:
Primary: 46B03
Secondary: 46B26

Rights: 2011 © Institut Mittag-Leffler

Vol.206 • No. 1 • 2011
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