Characterization of k-smooth operators between Banach spaces

2019/09/04 by Mal, Arpita, Paul, Kallol · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Primary 46B20 #Secondary 47L05

paper · doi:10.48550/arxiv.1909.01690

Abstract

We study k-smoothness of bounded linear operators defined between arbitrary Banach spaces. As an application, we characterize k-smooth operators defined from ℓ₁ⁿ to an arbitrary Banach space. We also completely characterize k-smooth operators defined between arbitrary two-dimensional Banach spaces.

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