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Three space properties and basis extensions

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Abstract

We discuss and prove three space properties and basis extension theorems of the following kind:

LetY be a separableL 1-space andX⊄Y a non-reflexive subspace such thatY/X has a basis. ThenX has a basis.

IfY is a separableC(K)-space andX⊄Y is such thatY/X is nonreflexive, then every basis ofX can be extended to a basis ofY.

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Authors and Affiliations

  1. Fachbereich 17, Universität-Gesamthochschule, Warburger Straße 100, D-33098, Paderborn, Germany

    Wolfgang Lusky

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  1. Wolfgang Lusky
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Correspondence to Wolfgang Lusky.

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Lusky, W. Three space properties and basis extensions. Isr. J. Math. 107, 17–27 (1998). https://doi.org/10.1007/BF02764003

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  • DOI: https://doi.org/10.1007/BF02764003

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