arXiv:1909.01690 Abstract | arXiv Analytics

arXiv:1909.01690 [math.FA]Abstract References Reviews Resources

Characterization of $k-$smooth operators between Banach spaces

Published 2019-09-04Version 1

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.

Comments: 10 pages

Categories: math.FA

Subjects: 46B20, 47L05

Keywords: smooth operators, arbitrary banach space, characterization, arbitrary two-dimensional banach spaces, bounded linear operators

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