Some Generalized Versions of Chevet–Saphar Tensor Norms

Abstract

The paper is concerned with some generalized versions gE and wE of classical tensor norms. We find a Banach space E for which gE and wE are finitely generated tensor norms, and show that gE and wE are associated with the ideals of some E-nuclear operators. We also initiate the study of some theories of our tensor norms.