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Ferrera Cuesta, Juan (2002) Normattaining polynomials and differentiability. Studia Mathematica, 151 (1). pp. 121. ISSN 00393223

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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.
Item Type:  Article 

Uncontrolled Keywords:  Banach spaces; Polynomials; Norm differentiability; Shmul'yans's test; Strongly attains its norm; Fréchet differentiability; Gâteaux differentiability 
Subjects:  Sciences > Mathematics > Mathematical analysis 
ID Code:  15248 
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Deposited On:  17 May 2012 07:46 
Last Modified:  01 Feb 2016 08:02 
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