Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces
The author suggests the notion of some nonstandard hull for a lattice-normed vector space which is a good replacement for the conventional nonstandard hull of a Banach space. His idea is to consider not only the factor space of finite-norm elements over infinitesimals but also the factor space by infinitesimals of some natural subspace of the divident. The clearest results pertain to spaces with decomposable norm when everything mimics the scalar case modulo obvious specification.
scientific article; zbMATH DE number 923479