Publication: Norm-attaining polynomials and differentiability.
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2002
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Polish Acad Sciencies Inst Mathematics
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Abstract
We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.
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