On some applications of representable and continuous functionals of Banach quasi \(^\ast \)-algebras

DOI10.1007/978-3-030-51945-2_2zbMath1483.46052arXiv2002.08775OpenAlexW3007101214MaRDI QIDQ1980902

Maria Stella Adamo

Publication date: 9 September 2021

Full work available at URL: https://arxiv.org/abs/2002.08775

zbMATH Keywords

representable functionalsBanach and Hilbert quasi \(^\ast \)-algebrastensor product of Hilbert quasi \(^\ast \)-algebrasweak derivations on Banach quasi \(^\ast \)-algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) (C^*)-modules (46L08) Spaces of linear operators; topological tensor products; approximation properties (46A32) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) General theory of topological algebras with involution (46K05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Hilbert algebras (46K15)

Cites Work

• Tensor products of generalized \(B^\ast\)-algebras
• Tensor products of unbounded operator algebras
• Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations
• Tensor products of normed and Banach quasi \(^*\)-algebras
• Algebras of unbounded operators and quantum dynamics
• Unbounded derivations of \(C^*\)-algebras
• Topological tensor products of unbounded operator algebras on Fréchet domains
• Representable and continuous functionals on Banach quasi \(*\)-algebras
• \(L^p\)-spaces as quasi \(^*\)-algebras
• \(CQ^*\)-algebras: Structure properties
• Unbounded derivations and \(^*\)-automorphisms groups of Banach quasi \(^*\)-algebras
• Unbounded Derivations of GB*-algebras
• DERIVATIONS OF FRÉCHET NUCLEAR GB-ALGEBRAS
• O* - Dynamical Systems and * - Derivations of Unbounded Operator Algebras
• QUASI *-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS
• The interplay between representable functionals and derivations on Banach quasi *-algebras
• The Heisenberg dynamics of spin systems: A quasi*-algebras approach
• ^*-Representations, seminorms and structure properties of normed quasi^*-algebras
• Bounded elements and spectrum in Banach quasi^*-algebras
• Tensor Products of Banach Algebras with Involution
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