Results 111 to 120 of about 1,227 (153)

Some Notes on Barreledness in Locally Convex Cones

Bulletin of the Iranian Mathematical Society, 2021
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Amir Dastouri, Asghar Ranjbari
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Bornological Convergence in Locally Convex Cones

Mediterranean Journal of Mathematics, 2015
La notion de cône (la multiplication y est associative, mais non nécessairement commutative) localement convexe est bien connue comme celle de partie d'un espace vectoriel de même nature. On adapte sur un tel cône une structure bornologique classique, dont les AA. développent toutes les caractérisques. -- On regrettera l'absence d'exemples.
Ayaseh, Davood, Ranjbari, Asghar
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A duality result in locally convex cones

Positivity, 2022
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Amir Dastouri, Asghar Ranjbari
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Locally convex quotient lattice cones

Mathematische Nachrichten, 2013
Walter Roth has investigated certain equivalence relations on locally convex cones in [W. Roth, Locally convex quotient cones, J. Convex Anal. 18, No. 4, 903–913 (2011)] which give rise to the definition of a locally convex quotient cone. In this paper, we investigate some special equivalence relations on a locally convex lattice cone by which the ...
Ayaseh, Davood, Ranjbari, Asghar
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Locally convex projective limit cones

Mathematica Slovaca, 2016
Abstract Using a family of ordered cones, we define a suitable order to investigate projective limit topologies for cones. Under the strict separation property, the projective limit cone topology is proved to be equivalent to some of the X-topologies embedded on a subcone of the product cone in its topology. Also, we discuss the cones of
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Compactness in locally convex cones

2020
Summary: We investigate notions of compactness with respect to the relative topologies of a locally convex cone. Since these topologies are generally not Hausdorff and the uniform structures induced by the upper and lower relative topologies are not symmetric, we introduce suitable generalizations for the concepts of precompactness and completeness ...
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Locally Convex Product and Direct Sum Cones

Mediterranean Journal of Mathematics, 2013
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Weak compactness in locally convex cones

Positivity, 2018
Dual pairs of locally convex ordered cones are considered and compactness in such cones is explored. It is proved that a subset of a cone is weakly (upper-, lower-, symmetric) compact if and only if it is weakly (upper-, lower-, symmetric) compact with respect to all coarsest weak topologies.
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Locally convex cones and the Schröder-Simpson theorem

Quaestiones Mathematicae, 2012
This paper paper has two goals: Firstly, to present the conceptual proof of the Schroder-Simpson theorem. The Schroder-Simpson theorem is stated in terms of domain theory and uses directed complete partially ordered cones and Scottcontinuous maps. These structures are used to model probabilistic phenomena in denotational semantics.
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Products and Direct Sums in Locally Convex Cones

Canadian Mathematical Bulletin, 2012
AbstractIn this paper we define lower, upper, and symmetric completeness and discuss closure of the sets in products and direct sums. In particular, we introduce suitable bases for these topologies, which leads us to investigate completeness of the direct sum and its components. Some results obtained about X-topologies and polars of the neighborhoods.
M. R. Motallebi, H. Saiflu
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