%0 Journal Article %T A symmetric tensor norm extending the Hilbert-Schmidt norm to the class of Banach spaces %J - %D 1994 %R DOI Code: 10.1285/i15900932v14n1p131 %X 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 %U http://siba-ese.unisalento.it/index.php/notemat/article/view/976