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Characterization of $k-$smooth operators between Banach spaces

Published 4 Sep 2019 in math.FA | (1909.01690v1)

Abstract: We study $k-$smoothness of bounded linear operators defined between arbitrary Banach spaces. As an application, we characterize $k-$smooth operators defined from $\ell_1n$ to an arbitrary Banach space. We also completely characterize $k-$smooth operators defined between arbitrary two-dimensional Banach spaces.

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Authors (2)

  1. Arpita Mal 
  2. Kallol Paul 

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