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math.FA2023
Yet another proof of the density in energy of Lipschitz functions
Danka Lučić, Enrico Pasqualetto
We provide a new, short proof of the density in energy of Lipschitz functions into the metric Sobolev space defined by using plans with barycenter (and thus, a fortiori, into the N…
math.FA2023
An axiomatic theory of normed modules via Riesz spaces
Danka Lučić, Enrico Pasqualetto
We introduce and study an axiomatic theory of -normed -modules, where is a Riesz space and is an -algebra; the spaces and also have some additional structu…