Seminar

It is generally very fruitful to identify systematically the dual norm of a given norm on a space. For some operator ideals of linear mappings between Banach spaces, the identification of the dual norm is naturally given as a norm on a tensor product of Banach spaces. When these operator ideals of linear mappings between Banach spaces are generalized to Lipschitz mappings between a metric space and a Banach space, one would still like to identify the dual spaces but the tensor product arguments do not immediately make sense. In this talk we introduce a concept that plays the role of a tensor product between a metric space and a Banach space (inspired by work of Arens and Eells in the 50's), which allows us to transfer the duality arguments to this partially non-linear situation.