On octahedraliy and Müntz spaces
Abstract
We show that every Müntz space can be written as a direct sum of Banach spaces X and Y , where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this to show that no Müntz space is locally octahedral or almost square.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.02011
- arXiv:
- arXiv:1811.02011
- Bibcode:
- 2018arXiv181102011M
- Keywords:
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- Mathematics - Functional Analysis;
- 46E15 (Primary) 46B04 46B20 (Secondary)
- E-Print:
- 6 pages