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On Hilbert-Schmidt spaces. (English) Zbl 0503.46014

##### MSC:
 46B20 Geometry and structure of normed linear spaces 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.) 47L10 Algebras of operators on Banach spaces and other topological linear spaces