# Pontryagin Duality in the Theory of Topological Vector Spaces and in Topological Algebra

@article{Akbarov2003PontryaginDI, title={Pontryagin Duality in the Theory of Topological Vector Spaces and in Topological Algebra}, author={S. S. Akbarov}, journal={Journal of Mathematical Sciences}, year={2003}, volume={113}, pages={179-349} }

The theory of topological vector spaces (TVS), being a foundation of modern functional analysis, is now considered as a completely mature, or, to be more specific, dead mathematical discipline. This pessimistic view is based on a picture, where, on the one hand, a well-known system of facts is stated, facts that have been considered classical since the times of Mackey and Grothendieck, and, on the other hand, an opinion exists explicitly or implicitly, that any deviation from this system…

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