AMHNMH, AMNM and ADND pairs

DOI10.1007/s00025-023-02105-zOpenAlexW4391052235WikidataQ129663774 ScholiaQ129663774MaRDI QIDQ6185794

Bahman Hayati, Hamid Khodaei

Publication date: 30 January 2024

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

Full work available at URL: https://doi.org/10.1007/s00025-023-02105-z

zbMATH Keywords

Banach moduleamenable Banach algebraAMNM propertyalmost module homomorphism

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Linear operators on Banach algebras (47B48) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Perturbations of Banach algebras
• The problem of S. M. Ulam for approximately multiplicative mappings
• On approximate group homomorphisms
• On approximate ring homomorphisms
• Remarks on the stability of Lie homomorphisms
• Asymptotic behavior of \(n\)-Jordan homomorphisms
• Stability of characters and filters for weighted semilattices
• Approximate homomorphisms from ternary semigroups to modular spaces
• Ulam stability of operators
• APPROXIMATELY MULTIPLICATIVE MAPS FROM WEIGHTED SEMILATTICE ALGEBRAS
• Approximately Multiplicative Functionals
• Almost multiplicative functions on commutative Banach algebras
• Continuity of Generalised Homomorphisms
• Approximately Multiplicative Maps Between Banach Algebras
• Almost multiplicative functionals
• On an approximate automorphism on a $C^{*}$-algebra
• APPROXIMATELY MULTIPLICATIVE FUNCTIONALS ON ALGEBRAS OF SMOOTH FUNCTIONS
• Are All Uniform Algebras Amnm?
• Perturbations of surjective homomorphisms between algebras of operators on Banach spaces
• Approximately multiplicative maps between algebras of bounded operators on Banach spaces
• Lectures on amenability

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