A note on convergence in Banach spaces of cotype p

Xiang Chen Wang and M. Bhaskara Rao

Statistics & Probability Letters, 1990, vol. 10, issue 5, 391-396

Abstract: Let B be a separable Banach space. The following is one of the results proved in this paper. The Banach space B is of cotype p if and only if 1. dn, n [greater-or-equal, slanted] 1, has no subsequence converging in probability, and 2. [summation operator]n [greater-or-equal, slanted] 1anp

Keywords: Bounded; in; probability; convergence; in; probability; cotype; uniform; tightness; condition (search for similar items in EconPapers)
Date: 1990
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