Structure of modules over the stereotype algebra \({\mathcal L}(X)\) of operators

DOI10.1007/s10688-006-0014-3zbMath1106.46035OpenAlexW2007811002MaRDI QIDQ2498289

Sergei S. Akbarov

Publication date: 16 August 2006

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0014-3

zbMATH Keywords

topological algebrasstereotype algebranuclear spacetopological modulesstereotype approximation property

Mathematics Subject Classification ID

Spaces of linear operators; topological tensor products; approximation properties (46A32) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Cites Work

• Pontryagin duality in the theory of topological vector spaces and in topological algebra
• The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
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