Results 191 to 200 of about 3,845,232 (225)
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RIESZ POTENTIALS ON LORENTZ SPACES
Mathematics of the USSR-Sbornik, 1987See the review in Zbl 0624.46012.
Kipriyanov, I. A., Ivanov, L. A.
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Mazur–Ulam theorem for Riesz spaces
gmj, 2010Abstract We give a Mazur–Ulam type theorem for Riesz spaces. In particular, a generalization of the Mazur–Ulam theorem is given in terms of a lattice normed space.
Çelik, Cesim, Ercan, Zafer
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Subspaces of Normed Riesz Spaces
Positivity, 2004The author presents a characterization of a normed partially ordered vector space. He shows that a normed partially ordered vector space with a norm \(p\) is linearly, norm and order isomorphic to a subspace of a normed Riesz space (which is also a Riesz space) if and only if its positive cone is closed and \(p(x)\leq p(y)\) whenever \(-y\leq x\leq y\).
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On the Order Dual of a Riesz Space
2003The order-bounded linear functionals on a Riesz space are investigated constructively. Two classically equivalent notions of positivity for linear functionals, and their relation to the strong extensionality, are examined. A necessary and sufficient condition for the existence of the supremum of two elements of the order dual of a Riesz space with unit
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Mathematical Proceedings of the Cambridge Philosophical Society, 1975
My aim in this paper is to give an abstract characterization of the C∞ spaces described in (6) or (9), and to develop some of the remarkable special properties of these spaces. Although the subject is in some ways highly specialized, inextensible and sequentially inextensible spaces seem common enough (they include all spaces of the forms Rx and L0) to
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My aim in this paper is to give an abstract characterization of the C∞ spaces described in (6) or (9), and to develop some of the remarkable special properties of these spaces. Although the subject is in some ways highly specialized, inextensible and sequentially inextensible spaces seem common enough (they include all spaces of the forms Rx and L0) to
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1997
All Riesz spaces in the preceding sections are real Riesz spaces. We shall now define complex Riesz spaces and then extend a considerable part of the theory to these complex spaces. Recall first that the Cartesian product X × Y of the non-empty sets X and Y is the set of all ordered pairs (x, y) such that x ∈ X and y ∈ Y.
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All Riesz spaces in the preceding sections are real Riesz spaces. We shall now define complex Riesz spaces and then extend a considerable part of the theory to these complex spaces. Recall first that the Cartesian product X × Y of the non-empty sets X and Y is the set of all ordered pairs (x, y) such that x ∈ X and y ∈ Y.
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Local discontinuous Galerkin method for the Riesz space distributed-order Sobolev equation
Engineering Analysis With Boundary Elements, 2023Somayeh Fouladi +1 more
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