Mathematical series | Summability theory | Convergence (mathematics) | Mathematical analysis

Unconditional convergence

In mathematics, specifically functional analysis, a series is unconditionally convergent if all reorderings of the series converge to the same value. In contrast, a series is conditionally convergent if it converges but different orderings do not all converge to that same value. Unconditional convergence is equivalent to absolute convergence in finite-dimensional vector spaces, but is a weaker property in infinite dimensions. (Wikipedia).

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From playlist 242 spring 2012 exam 3

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Difference Between Pointwise Convergence and Uniform Convergence

From playlist Advanced Calculus

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From playlist Convergence (Calculus)

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From playlist New Calculus Video Playlist

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From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

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From playlist Sequences

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From playlist Analysis & Operator Algebras

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Probability and Statistics

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From playlist Mathematics

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From playlist Richard Rorty

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From playlist Topology

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From playlist Mathematics

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From playlist MIT RES.6-012 Introduction to Probability, Spring 2018

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From playlist Physics

Related pages

Absolute convergence | Bijection | Permutation | Riemann series theorem | Converse (logic) | Dimension (vector space) | Banach space | Functional analysis | Vector space | Conditional convergence | Mathematics | Index set | Topological vector space