Bases of random unconditional convergence in Banach spaces

Lopez-Abad, J.; Tradacete, P.

doi:10.1090/tran/6636

Bases of random unconditional convergence in Banach spaces
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by J. Lopez-Abad and P. Tradacete PDF

Trans. Amer. Math. Soc. 368 (2016), 9001-9032 Request permission

Abstract:

We study random unconditional convergence for a basis in a Banach space. The connections between this notion and classical unconditionality are explored. In particular, we analyze duality relations, reflexivity, uniqueness of these bases and existence of unconditional subsequences.

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