Theorems in functional analysis

James's theorem

In mathematics, particularly functional analysis, James' theorem, named for Robert C. James, states that a Banach space is reflexive if and only if every continuous linear functional on attains its supremum on the closed unit ball in A stronger version of the theorem states that a weakly closed subset of a Banach space is weakly compact if and only if each continuous linear functional on attains a maximum on The hypothesis of completeness in the theorem cannot be dropped. (Wikipedia).

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My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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From playlist Abstract Algebra

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Calculus - The Fundamental Theorem, Part 1

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From playlist Calculus - The Fundamental Theorem of Calculus

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Cayley-Hamilton Theorem: General Case

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From playlist Matrix Theory

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

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From playlist Calculus - The Fundamental Theorem of Calculus

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From playlist Mathematics

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From playlist Spring 2022 Online Kolchin seminar in Differential Algebra

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From playlist Existence theorems | AP Calculus AB | Khan Academy

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From playlist Calculus - The Fundamental Theorem of Calculus

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Conjecturing Theorems in Euclidean Geometry

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From playlist Algebraic Calculus One

Related pages

Reflexive space | Weak topology | Banach space | Functional analysis | Mathematics | Continuous function | Robert C. James | Unit ball