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PreprintarXiv licencearXiv

Improved Bounds For The Lipschitz Retraction Constant In Classical Banach Spaces

Abstract

We improve the upper and lower bounds for the smallest Lipschitz constant K for which there exists a K-Lipschitz retraction from the unit ball to the unit sphere of the infinite-dimensional Banach space X, for several classical spaces X.

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BibTeX
@misc{mahesh2026improved,
  title = {{Improved Bounds For The Lipschitz Retraction Constant In Classical Banach Spaces}},
  author = {Shriram Mahesh},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13342},
  eprint = {2609.13342},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13342},
}
RIS
TY  - UNPB
TI  - Improved Bounds For The Lipschitz Retraction Constant In Classical Banach Spaces
AU  - Shriram Mahesh
PY  - 2026
DA  - 2026/09/11
PB  - arXiv
DO  - 10.48550/arxiv.2609.13342
UR  - https://arxiv.org/abs/2609.13342
AB  - We improve the upper and lower bounds for the smallest Lipschitz constant K for which there exists a K-Lipschitz retraction from the unit ball to the unit sphere of the infinite-dimensional Banach space X, for several classical spaces X.
ER  -