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arXiv · 1909.01690

Characterization of $k-$smooth operators between Banach spaces

Arpita Mal·Kallol Paul
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Abstract

We study $k-$smoothness of bounded linear operators defined between arbitrary Banach spaces. As an application, we characterize $k-$smooth operators defined from $\ell_1^n$ to an arbitrary Banach space. We also completely characterize $k-$smooth operators defined between arbitrary two-dimensional Banach spaces.

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Arpita Mal, Kallol Paul. 2019-09-04. Characterization of $k-$smooth operators between Banach spaces. https://arxiv.org/abs/1909.01690

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