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The two‐ball property: transitivity and examples
Author(s) -
Payá Rafael,
Yost David
Publication year - 1988
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300015187
Subject(s) - mathematics , hyperplane , transitive relation , ball (mathematics) , regular polygon , banach space , pure mathematics , property (philosophy) , combinatorics , mathematical analysis , geometry , philosophy , epistemology
The 2‐ball property is shown to be transitive. Combining this with some results on the decomposability of convex bodies, we produce new examples of Banach spaces which contain proper semi‐ M ‐ideals. These semi‐ M ‐ideals are not hyperplanes, nor are they the direct sums of examples which are hyperplanes.