“Gap in the proof” deletes math paper

BAZThe author of a paper on the properties of a vector space is retracting it from The Bulletin of the Australian Mathematical Society after a “false application” of a theorem led to a “gap in the proof.”

Here’s the abstract of “On a Weakly Uniformly Rotund Dual of a Banach Space,” in full:

Every Banach space with separable second dual can be equivalently renormed to have weakly uniformly rotund dual. Under certain embedding conditions a Banach space with weakly uniformly rotund dual is reflexive.

And the retraction note, published in the August issue of the journal:

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