Representation of Dimant strongly (p, σ)-continuous multilinear operators by trace duality

Abstract

We introduce a tensor norm which represents the space of Dimant strongly (p, σ)-continuous multilinear operators by
trace duality.

MSC: Primary 46A32; Secondary 47B10

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Communicated Editor: Guediri Hocine
Manuscript received Dec 26, 2023; revised Jan 28, 2024; accepted Feb 03, 2024; published May 11, 2024.