Functional analysis

Order summable

In mathematics, specifically in order theory and functional analysis, a sequence of positive elements in a preordered vector space (that is, for all ) is called order summable if exists in . For any , we say that a sequence of positive elements of is of type if there exists some and some sequence in such that for all . The notion of order summable sequences is related to the completeness of the order topology. (Wikipedia).

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From playlist Abstract Algebra

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From playlist Introduction to Integers

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From playlist Set Theory

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From playlist Orders on Sets

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From playlist Course 6: Introduction to Analysis (Fall 2017)

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http://mathispower4u.wordpress.com/

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From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021

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From playlist Marco Serone - Resurgence in Integrable Field Theories

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From playlist MIT RES.6-008 Digital Signal Processing, 1975

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From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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Related pages

Order theory | Functional analysis | Order topology (functional analysis) | Ordered vector space