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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2019; 56(1): 225-237

Online first article July 10, 2018      Printed January 1, 2019

https://doi.org/10.4134/JKMS.j180151

Copyright © The Korean Mathematical Society.

The ideal of weakly $p$-nuclear operators and its injective and surjective hulls

Ju Myung Kim

Sejong University

Abstract

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We introduce a larger ideal $\mathcal N_{wp}$ of the ideal of $p$-nuclear operators. We obtain isometric representations of the injective and surjective hulls of $\mathcal N_{wp}$ and study them.

Keywords: Banach operator ideal, tensor norm, nuclear operator

MSC numbers: 46B28, 46B45, 47L20

Supported by: This work was supported by NRF-2018R1D1A1B07043566, funded by the Korean Government.

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