Results 11 to 20 of about 1,227 (153)

Bornological completion of locally convex cones

Sahand Communications in Mathematical Analysis, 2020
Summary: In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [the authors, Mediterr. J. Math. 13, No. 4, 1921--1931 (2016; Zbl 1359.46002)]) and then we introduce the concept of bornological completion for locally convex cones.
Ayaseh, Davood, Ranjbari, Asghar
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Bornological Locally Convex Cones

Le Matematiche, 2014
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept  of bornological spaces. We introduce and investigate the  convex quasiuniform   structures U_{tau},
Davood Ayaseh, Asghar Ranjbari
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Duality on locally convex cones

Journal of Mathematical Analysis and Applications, 2008
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Motallebi, M.R., Saiflu, H.
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Locally convex inductive limit cones [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
We define the finest order on inductive limits of ordered cones which makes the linear mappings monotone and gives rise to the definition of inductive limit topologies for cones. Using the polars of neighborhoods, we establish embeddings between direct sums, inductive limits and their duals.
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Completion of locally convex cones

Filomat, 2017
We define the concept of completion for locally convex cones. We show that how a locally convex cone with (SP) can be embedded as an upper dense subcone in an upper complete locally convex cone with (SP). We prove that every upper complete locally convex cone with (SP) is also symmetric complete.
Ayaseh, Davood, Ranjbari, Asghar
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Hahn-Banach Type Theorems for Locally Convex Cones [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 2000
AbstractWe prove Hahn-Banach type theorems for linear functionals with values in R∪{+∞} on ordered cones, Using the concept of locally convex cones, we provide a sandwich theorem involving sub- and superlinear functionals which are allowed to attain infinite values. It render general versions of well-known extension and separation results.
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Completeness on locally convex cones

Comptes Rendus. Mathématique, 2014
We investigate complete and compact subsets for the lower, upper and symmetric topologies of a locally convex cone and prove that weakly closed sets will be weakly compact, whenever they are weakly precompact. This leads to the weak* compactness of the polars of neighborhoods and weak compactness of the lower, upper and symmetric neighborhoods.
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Finite dimensional locally convex cones

Filomat, 2017
We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone. In special case of finite dimensional locally convex topological vector spaces, the symmetric topology induced by the Euclidean convex quasiuniform structure reduces to the known concept of ...
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Optimization problems for locally convex cone-valued functions

Indian Journal of Pure and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Azizi Mayvan, M. R. Motallebi
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Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley   +1 more source