Metric freeness and projectivity for classical and quantum normed modules

DOI10.1070/SM2013v204n07ABEH004330zbMath1288.46032arXiv1112.5750OpenAlexW2081297691MaRDI QIDQ2863124

Alexander Ya. Helemskii

Publication date: 21 November 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5750

zbMATH Keywords

freenessasymptotic structuremetric projectivityriggingquantum module

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Projective and injective objects in functional analysis (46M10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items

Metrically homological properties and some notions of amenability ⋮ Homological triviality of the category of \(L_p\)-modules ⋮ On character projectivity Of Banach modules ⋮ Metrically and topologically projective ideals of Banach algebras ⋮ The geometry of projective, injective, and flat Banach modules ⋮ Free Vector Lattices and Free Vector Lattice Algebras ⋮ Finite presentation, the local lifting property, and local approximation properties of operator modules ⋮ Free and projective generalized multinormed spaces ⋮ Tensor products and multipliers of modules \(L_p\) on locally compact measure spaces ⋮ Metrically projective quantum normed spaces that are preduals of von Neumann algebras

Cites Work

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• Tensor products of operator spaces
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• Projective Fréchet modules with the approximation property
• Extreme Version of Projectivity for Normed Modules Over Sequence Algebras
• History of Banach Spaces and Linear Operators
• ON THE HOMOLOGICAL DIMENSION OF NORMED MODULES OVER BANACH ALGEBRAS
• Une Caracterisation Vectorielle-Metrique Des Espaces L¹
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