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Best Approximation in Köthe–Bochner Spaces

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Abstract

We give sufficient conditions for the best approximation of convex, bounded, closed and solid sets in Köthe–Bochner spaces and apply this result to sequence spaces.

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Acknowledgements

The authors are very much indebted to the anonymous referee and to the editors for their most valuable comments and suggestions which improved the quality of our paper.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014, Bucharest, Romania

    Ion Chiţescu & Răzvan-Cornel Sfetcu

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  1. Ion Chiţescu
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  2. Răzvan-Cornel Sfetcu
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Correspondence to Ion Chiţescu.

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Chiţescu, I., Sfetcu, RC. Best Approximation in Köthe–Bochner Spaces. Acta Appl Math 155, 1–8 (2018). https://doi.org/10.1007/s10440-017-0141-2

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  • DOI: https://doi.org/10.1007/s10440-017-0141-2

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