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arXiv · 2106.04394

A note on the 2-dual space of $L^p[0,1]$

Akshay S. Rane
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Abstract

In the present note, we are interested in bounded 2-functionals and 2-dual spaces of $L^p[0,1]$. The 2-dual spaces of the sequence space $l^p$ is considered in the literature. But interestingly an explicit computation of $Lp$ spaces has not been considered though n-duals of general normed spaces have been considered. We shall consider the 2-dual spaces with the usual $\|.\|_p$ norm and with respect to the G\"{a}hler and the Gunawan norm. The n-dual space of $L^p[0,1]$ can be treated in a similar manner.

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Akshay S. Rane. 2021-06-01. A note on the 2-dual space of $L^p[0,1]$. https://arxiv.org/abs/2106.04394

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