Characterization of $k-$smooth operators between Banach spaces

Arpita Mal; Kallol Paul

Characterization of $k-$smooth operators between Banach spaces

Functional Analysis 2019-09-05 v1

Authors: Arpita Mal , Kallol Paul

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.

Keywords

operator theory on banach spaces banach space banach spaces

Cite

@article{arxiv.1909.01690,
  title  = {Characterization of $k-$smooth operators between Banach spaces},
  author = {Arpita Mal and Kallol Paul},
  journal= {arXiv preprint arXiv:1909.01690},
  year   = {2019}
}

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10 pages

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