A symmetric tensor norm extending the Hilbert-Schmidt norm to the class of Banach spaces

Authors

  • E.A. Sánchez Pérez

DOI:

https://doi.org/10.1285/i15900932v14n1p131

Abstract

We define a family of tensor norms that extend the Hilbert-Schmidt tensor norm to the class of Banach spaces. In particular, we obtain a symmetric tensor norm extending the Hilbert-Schmidt tensor norm. As a consequence, we give new characterizations of Hilbert-Schmidt operators.

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Published

01-01-1994

Issue

Volume 14, Issue 1 (1994)

Section

Articoli

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