reflexive Banach space

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reflexive Banach space [ri¦flek·siv ′bä‚näk ‚spās]

(mathematics)

A Banach spaceBsuch that, for every continuous linear functionalFon the conjugate spaceB*, there corresponds a pointx₀ofBsuch thatF(ƒ) = ƒ(x₀) for each element ƒ ofB*. Also known as regular Banach space.

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regular Banach space
superreflexive Banach space

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