On type of metric spaces
Authors:
J. Bourgain, V. Milman and H. Wolfson
Journal:
Trans. Amer. Math. Soc. 294 (1986), 295-317
MSC:
Primary 46B99; Secondary 46G99, 54E35, 58C99
DOI:
https://doi.org/10.1090/S0002-9947-1986-0819949-8
MathSciNet review:
819949
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Abstract | References | Similar Articles | Additional Information
Abstract: Families of finite metric spaces are investigated. A notion of metric type is introduced and it is shown that for Banach spaces it is consistent with the standard notion of type. A theorem parallel to the Maurey-Pisier Theorem in Local Theory is proved. Embeddings of -cubes into the
-cube (Hamming cube) are discussed.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1986-0819949-8
Article copyright:
© Copyright 1986
American Mathematical Society