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Bornological Completion of Locally Convex Cones [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion
Davood Ayaseh, Asghar Ranjbari
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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
Davood Ayaseh, Asghar Ranjbari
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A note on product topologies in locally convex cones [PDF]
Journal of Mahani Mathematical Research, 2022 We consider the locally convex product cone topologies and prove that the product topologyof weakly cone-complete locally convex cones is weakly cone-complete.
Mohammad Reza Motallebi
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Locally convexified rigid tube MPC
IET Control Theory & Applications, 2023 This paper proposes a locally convexified rigid tube model predictive control for obstacle avoidance for linear, discrete‐time, systems subject to additive, bounded disturbances and state and control constraints.
Haidi Sun +3 more
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The Bochner-flat cone of a CR manifold [PDF]
, 2007 We construct a Kahler structure (which we call a generalised Kahler cone) on an open subset of the cone of a strongly pseudo-convex CR manifold endowed with a 1-parameter family of compatible Sasaki structures. We determine those generalised Kahler cones
David, Liana
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Duality on locally convex cones
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Motallebi, M.R., Saiflu, H.
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Semibounded representations and invariant cones in infinite dimensional Lie algebras [PDF]
, 2009 A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semi-bounded if the corresponding operators $i\dd\pi(x)$ from the derived representations are uniformly bounded from above on some non-empty open subset of the Lie ...
Neeb, Karl-Hermann
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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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Causality theory for closed cone structures with applications [PDF]
, 2018 We develop causality theory for upper semi-continuous distributions of cones over manifolds generalizing results from mathematical relativity in two directions: non-round cones and non-regular differentiability assumptions.
Minguzzi, E.
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Remarks on Causality in Relativistic Quantum Field Theory [PDF]
, 2003 It is shown that the correlations predicted by relativistic quantum field theory in locally normal states between projections in local von Neumann algebras $\cA(V_1),\cA(V_2)$ associated with spacelike separated spacetime regions $V_1,V_2$ have a ...
B. C. van Fraassen +30 more
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