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.

Keywords

Best approximation Köthe–Bochner spaces 

Mathematics Subject Classification (2010)

41A50 46A45 46B45 46E30 54C35 28A20 46B25 

Notes

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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© Springer Science+Business Media B.V., part of Springer Nature 2017

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceUniversity of BucharestBucharestRomania

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