J. López-Abad, Pedro Tradacete
Abstract
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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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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.
Key concepts: Mathematics, Unconditional convergence, Uniqueness, Banach space, Convergence (economics), Eberlein–Šmulian theorem, Basis (linear algebra), Duality (order theory)