A Vector Supersymmetry Killing the Infrared Singularity of Gauge Theories in Noncommutative Space
We show that the "topological BF-type" term introduced by Slavnov in order to cure the infrared divergences of gauge theories in noncommutative space can be characterized as the consequence of a new symmetry.
Blaschke, Daniel N. +3 more
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The Open Mapping and Closed Graph Theorems in Topological Vector Spaces. [PDF]
A. P. Robertson, Taqdir Husain
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Extremal properties of the set of vector-valued Banach limits
In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X).
García-Pacheco Francisco Javier
doaj +1 more source
Sublinear and continuous order-preserving functions for noncomplete preorders
We characterize the existence of a nonnegative, sublinear and continuous order-preserving function for a not necessarily complete preorder on a real convex cone in an arbitrary topological real vector space.
Bosi, Gianni, Zuanon, Magali E.
core
On embedding a compact convex set into a locally convex topological vector space [PDF]
Robert E. Jamison +2 more
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Extending Topological Abelian Groups by the Unit Circle
A twisted sum in the category of topological Abelian groups is a short exact sequence 0→Y→X→Z→0 where all maps are assumed to be continuous and open onto their images. The twisted sum splits if it is equivalent to 0→Y→Y×Z→Z→0.
Hugo J. Bello +2 more
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Collectively compact and semi-compact sets of linear operators in topological vector spaces [PDF]
M. V. Deshpande, N. E. Joshi
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Varieties of locally convex topological vector spaces [PDF]
Joseph Diestel +2 more
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Convergence of monotone nets in ordered topological vector spaces [PDF]
Charles W. McArthur
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Integral representations for continuous linear operators in the setting of convex topological vector spaces [PDF]
J. Riley Edwards, S. G. Wayment
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