Hilbertian Frobenius algebras

DOI10.1080/00927872.2021.1958223OpenAlexW3195177478MaRDI QIDQ5027506

Laurent Poinsot

Publication date: 4 February 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04149

zbMATH Keywords

Banach algebrassemisimplicityorthogonal setsFrobenius compatibility relation

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Coalgebras and comodules; corings (16T15) Structure and classification of commutative topological algebras (46J40)

Cites Work

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• On Frobenius algebras
• The Wedderburn decomposability of some commutative Banach algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics
• On the Dimension of Modules and Algebras, II: (Frobenius Algebras and Quasi-Frobenius Rings)
• The Elements of Operator Theory
• Approximate identities in extensions of topologically nilpotent Banach algebras
• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
• On the Functor ℓ2
• A new description of orthogonal bases
• Hilbertian (function) algebras
• Categories for Quantum Theory
• Structure Theorems for a Special Class of Banach Algebras