um-Topology in multi-normed vector lattices
Sign Up to like & getrecommendations! Published in 2017 at "Positivity"
DOI: 10.1007/s11117-017-0533-6
Abstract: Let $${\mathcal {M}}=\{m_\lambda \}_{\lambda \in \Lambda }$$M={mλ}λ∈Λ be a separating family of lattice seminorms on a vector lattice X, then $$(X,{\mathcal {M}})$$(X,M) is called a multi-normed vector lattice (or MNVL). We write $$x_\alpha \xrightarrow {\mathrm… read more here.
Keywords: normed vector; topology; vector lattices; multi normed ... See more keywords
Conical geodesic bicombings on subsets of normed vector spaces
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DOI: 10.1515/advgeom-2018-0008
Abstract: Abstract We establish existence and uniqueness results for conical geodesic bicombings on subsets of normed vector spaces. Concerning existence, we give a first example of a convex geodesic bicombing that is not consistent. Furthermore, we… read more here.
Keywords: bicombings subsets; geodesic bicombings; vector spaces; subsets normed ... See more keywords