Browder–Minty theorem
id:
browder-minty-theorem-283-12835207
title:
Browder–Minty theorem
text:
In mathematics, the Browder–Minty theorem (sometimes called the Minty–Browder theorem) states that a bounded, continuous, coercive and monotone function T from a real, separable reflexive Banach space X into its continuous dual space X∗ is automatically surjective. That is, for each continuous linear functional g ∈ X∗, there exists a solution u ∈ X of the equation T(u) = g. (Note that T itself is not required to be a linear map.) The theorem is named in honor of Felix Browder and George J. Minty
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Browder%E2%80%93Minty_theorem
date created:
date modified:
2023-03-31T22:20:55Z
main entity:
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