Abstract
Information about geometric properties, such as uniform convexity and smoothness, type and cotype, of a unitary Banach idealS E is obtained from properties of the symmetric Banach sequence spaceE. In particularS E has cotype 2 ifE does. The proofs use real interpolation and complex geometry.
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Partially supported by NSF Grant MCS-8201044
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Garling, D.J.H., Tomczak-Jaegermann, N. The cotype and uniform convexity of unitary ideals. Israel J. Math. 45, 175–197 (1983). https://doi.org/10.1007/BF02774015
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DOI: https://doi.org/10.1007/BF02774015