Characterizing bounded orthogonally additive polynomials on vector lattices
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DOI: 10.1007/s00013-018-1251-4
Abstract: We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived in Kusraeva (Vladikavkaz Math J 16(4):49–53, 2014) actually characterize them. Secondly, by… read more here.
Keywords: characterizing bounded; polynomials vector; bounded orthogonally; vector lattices ... See more keywords
um-Topology in multi-normed vector lattices
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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
No-arbitrage concepts in topological vector lattices
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DOI: 10.1007/s11117-021-00848-z
Abstract: We provide a general framework for no-arbitrage concepts in topological vector lattices, which covers many of the well-known no-arbitrage concepts as particular cases. The main structural condition we impose is that the outcomes of trading… read more here.
Keywords: vector lattices; arbitrage concepts; arbitrage; concepts topological ... See more keywords
Completeness for vector lattices
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DOI: 10.1016/j.jmaa.2018.11.019
Abstract: The notion of unboundedly order converges has been recieved recently a particular attention by several authors. The main result of the present paper shows that the notion is efficient and deserves that care. It states… read more here.
Keywords: notion; completeness vector; vector lattices;