A review of duality theory for linear programming over topological vector spaces
Journal of Mathematical Analysis and Applications, 1983 This is a brief review of the main results of duality theory for linear programs over topological vector spaces presented in a unified setting and notation.
E. J. Anderson
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Pontryagin Duality in the Theory of Topological Vector Spaces and in Topological Algebra
Journal of Mathematical Sciences, 2003 This long paper presents in a unified way the recent research of the author in the theory of stereotype topological vector spaces and algebras. Let \(X\) be a Hausdorff locally convex space over \(C\), and let \(X^{*}\) denote the dual of \(X\) endowed with the topology of uniform convergence on the precompact subsets of \(X\). The author defines \(X\)
S. Akbarov
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Tensor network approach to electromagnetic duality in (3+1)d topological gauge models [PDF]
Journal of High Energy Physics, 2021 Given the Hamiltonian realisation of a topological (3+1)d gauge theory with finite group G, we consider a family of tensor network representations of its ground state subspace.
Clement Delcamp
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A Perturbation Approach to Vector Optimization Problems: Lagrange and Fenchel–Lagrange Duality [PDF]
Journal of Optimization Theory and Applications, 2021 In this paper, we study a general minimization vector problem which is expressed in terms of a perturbation mapping defined on a product of locally convex Hausdorff topological vector spaces with values in another locally convex topological vector space.
N. Dinh, D. H. Long
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Vector Optimization w.r.t. Relatively Solid Convex Cones in Real Linear Spaces
Journal of Optimization Theory and Applications, 2021 In vector optimization, it is of increasing interest to study problems where the image space (a real linear space) is preordered by a not necessarily solid (and not necessarily pointed) convex cone. It is well-known that there are many examples where the
C. Günther, Bahareh Khazayel, C. Tammer
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Duality for arithmetic Dijkgraaf-Witten theory [PDF]
A 3-dimensional topological quantum field theory is a symmetric monoidal functor from the oriented cobordism category to vector spaces, with Dijkgraaf-Witten theory being a prominent example using finite gauge groups and 3-cocycles.
J. Eichler
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Topological p-adic vector spaces and index theory
, 1995 This report is part of a work developed from Robba’s ideas whose ultimate goal would be to obtain a general finiteness theorem for p-adic cohomology. The basic question is to prove existence of index for ordinary differential operators.
G. Christol, Z. Mebkhout
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L 2 SERRE DUALITY ON DOMAINS IN COMPLEX MANIFOLDS AND APPLICATIONS [PDF]
, 2010 An L 2 version of the Serre duality on domains in complex manifolds involving duality of Hilbert space realizations of the @-operator is established. This duality is used to study the solution of the @-equation with prescribed support.
Debraj Chakrabarti, Mei-Chi Shaw
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Comprehensive Characterization of the Finest Locally Convex Topology with Applications
Current Research in Statistics & MathematicsThis paper provides a comprehensive characterization of the finest locally convex topology S on an infinite-dimensional real vector space E. By identifying E with the algebraic direct sum L i∈I R via a Hamel basis, we establish that S coincides with the ...
Elvin Rada
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On the Nonstandard Duality Theory of Locally Convex Spaces
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1980 Arthur D. Grainger
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