Envelopes and refinements in categories, with applications to functional analysis

DOI10.4064/dm702-12-2015zbMath1350.18006arXiv1110.2013OpenAlexW1545707962WikidataQ56551868 ScholiaQ56551868MaRDI QIDQ2787123

Sergei S. Akbarov

Publication date: 24 February 2016

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2013

zbMATH Keywords

refinementenvelopestereotype algebrastereotype spacenodal decomposition

Mathematics Subject Classification ID

Related Items (3)

Continuous and smooth envelopes of topological algebras. I ⋮ Continuous and smooth envelopes of topological algebras. II ⋮ Kernels and cokernels in the category of augmented involutive stereotype algebras

Cites Work

• On the notion of a semi-abelian category in the sense of Palamodov
• Homology and cohomology for topological algebras
• A general framwork for a multi-operator functional calculus
• Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity
• Pontryagin duality in the theory of topological vector spaces and in topological algebra
• Continuous and smooth envelopes of topological algebras. II
• Duals of Frechet spaces and a generalization of the Banach-Dieudonne theorem
• The Pontrjagin duality theorem in linear spaces
• Maximal exact structures on additive categories
• Lectures on the Combinatorics of Free Probability
• Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras
• A duality for Moore group
• Arens-Michael enveloping algebras and analytic smash products
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