Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces
Copyright policy )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.
Nonstandard functional analysis, lattice-normed vector space, Banach-Kantorovich spaces, spaces with decomposable norm, nonstandard hull, Ordered normed spaces
Nonstandard functional analysis, lattice-normed vector space, Banach-Kantorovich spaces, spaces with decomposable norm, nonstandard hull, Ordered normed spaces
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!