unconditional convergence


unconditional convergence
1. the property of a convergent infinite series that remains convergent when the terms are arranged in any order.

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Universalium. 2010.

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  • Unconditional convergence — In mathematical analysis, a series sum {n=1}^infty x n in a Banach space X is unconditionally convergent if for every permutation sigma: mathbb N o mathbb N the series sum {n=1}^inftyx {sigma(n)} converges.This notion is often defined in an… …   Wikipedia

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  • Modes of convergence — In mathematics, there are many senses in which a sequence or a series is said to be convergent. This article describes various modes (senses or species) of convergence in the settings where they are defined. For a list of modes of convergence,… …   Wikipedia

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  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

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