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Extension conditions for bounded linear and sublinear operators with values in lindenstrauss spaces

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Abstract

We find extension conditions for linear and sublinear operators with values in four classes of spaces: the spaces of continuous functions on a compact set, Lindenstrauss spaces, and their separable parts. We prove that in all these cases the extension property for linear operators implies the extension property for sublinear operators, while in separable spaces the two properties are equivalent.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory, Irkutsk, Russia

    Yu. É. Linke

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  1. Yu. É. Linke
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Correspondence to Yu. É. Linke.

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Original Russian Text Copyright © 2010 Linke Yu. É.

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Linke, Y.É. Extension conditions for bounded linear and sublinear operators with values in lindenstrauss spaces. Sib Math J 51, 1061–1074 (2010). https://doi.org/10.1007/s11202-010-0104-6

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  • DOI: https://doi.org/10.1007/s11202-010-0104-6

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