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Representations of Riesz spaces as spaces of measures. I [PDF]
Czechoslovak Mathematical Journal, 1992 The author gives a concrete representation for spaces which reflect many properties of duality. Especially he shows that a Riesz space \(E\) can be represented as an order dense Riesz subspace of a band \(M\) of measures iff it is represented by the set \(E^ \pi\) of its order continuous linear forms.
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Fractional ordered Euler Riesz sequence space
, 2023 The main objective of this article is to introduce Euler-Riesz difference sequence spaces of fractional order ${\tau} $ along with infinite matrices. Some topological properties of these spaces are considered here along with the Schauder basis, ${\alpha}
Jena, D., Dutta, S.
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Norm-weightable Riesz Spaces and the Dual Complexity Space [PDF]
, 2003 The theory of complexity spaces has been introduced in [Sch95], where the applicability to the complexity analysis of Divide and Conquer algorithms has been discussed.
O'Keeffe, M +2 more
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On Approximate Solutions of Functional Equations in Vector Lattices
Abstract and Applied Analysis, 2014 We provide a method of approximation of approximate solutions of functional equations in the class of functions acting into a Riesz space (algebra). The main aim of the paper is to provide a general theorem that can act as a tool applicable to a possibly
Bogdan Batko
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General equilibrium analysis in ordered topological vector spaces [PDF]
The second welfare theorem and the core-equivalence theorem have been proved to be fundamental tools for obtaining equilibrium existence theorems, especially in an infinite dimensional setting.
Monique Florenzano +2 more
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Maximal d-Ideals in a Riesz Space
, 1983 We recall that the ideal I in an Archimedean Riesz space L is called a d-ideal whenever it follows from ƒ ∊ I that {ƒ}dd ⊂ I. Several authors (see [4], [5], [6], [12], [13], [15] and [18]) have considered the class of all d-ideals in L, but the set ℐd of
Ben de Pagter, Charles B. Huijsmans
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Entropy, 2018 In this article, a numerical scheme is formulated and analysed to solve the time-space fractional advection–diffusion equation, where the Riesz derivative and the Caputo derivative are considered in spatial and temporal directions, respectively ...
Sadia Arshad +5 more
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On the space of all regular operators between two Riesz spaces [PDF]
, 1985 We prove that for an Archimedean Riesz space E the following two conditions are equivalent. (A) For every Archimedean Riesz space F the regular linear operators of E into F form a Riesz space.
van Rooij, A.C.M.
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We give an example of an Archimedean Riesz space on which every automorphism is a strictly positive multiple of the ...
Wickstead, A.W.
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Characterizations of Riesz spaces with b-property
Positivity, 2008 A Riesz space \(E\) is said to have the \(b\)-property if every subset of \(E\) that is order bounded in the second order dual of \(E\) is also order bounded in \(E\). The authors deal with the interplay of the \(b\)-property with the Levi property, completeness, absolute weak topology, etc.
Alpay, Şafak, Ercan, Zafer
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