The geometry of flat Banach spaces
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- by R. E. Harrell and L. A. Karlovitz PDF
- Trans. Amer. Math. Soc. 192 (1974), 209-218 Request permission
Abstract:
A Banach space is flat if the girth of its unit ball is 4 and if the girth is achieved by some curve. (Equivalently, its unit ball can be circumnavigated along a centrally symmetric path whose length is 4.) Some basic geometric properties of flat Banach spaces are given. In particular, the term flat is justified.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 192 (1974), 209-218
- MSC: Primary 46B05
- DOI: https://doi.org/10.1090/S0002-9947-1974-0338737-4
- MathSciNet review: 0338737