Gateaux derivative of the norm in K(X;Y)

Paweł Wójcik

doi:10.1215/20088752-3661179

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Home > Journals > Ann. Funct. Anal. > Volume 7 > Issue 4 > Article

November 2016 Gateaux derivative of the norm in

\mathcal{K}(X;Y)

Paweł Wójcik

Ann. Funct. Anal. 7(4): 678-685 (November 2016). DOI: 10.1215/20088752-3661179

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Abstract

In this article, we consider the $\varphi$ -Gateaux derivative of the norm in spaces of compact operators in such a way as to extend the Kečkić theorem. Our main result determines the $\varphi$ -Gateaux derivative of the $\mathcal{K}(X;Y)$ norm.

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Paweł Wójcik. "Gateaux derivative of the norm in $\mathcal{K}(X;Y)$ ." Ann. Funct. Anal. 7 (4) 678 - 685, November 2016. https://doi.org/10.1215/20088752-3661179