reflexive Banach space

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(ri¦flek·siv ′bä′näk ′spās)

(mathematics) A Banach space B such that, for every continuous linear functional F on the conjugate space B*, there corresponds a point x0 of B such that F(ƒ) = ƒ(x0) for each element ƒ of B*. Also known as regular Banach space.


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