Ternary \(n\)-weak amenability of certain commutative Banach algebras and \(\mathrm{JBW}^*\)-triples

DOI10.1007/s41980-020-00359-9zbMath1481.46047OpenAlexW3005827789MaRDI QIDQ826594

Ali Akbar Khadem-Maboudi, Mohsen Niazi, Mohammad Reza Miri

Publication date: 5 January 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00359-9

zbMATH Keywords

\( \mathrm{JB}^*\)-triple\(n\)-weak amenability of Banach algebrasternary \(n\)-weak amenabilityternary derivationternary module

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras with an involution (46K70)

Related Items

Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero

Cites Work

• Strong Arens irregularity of bilinear mappings and reflexivity
• \(2m\)-weak amenability of group algebras
• All nuclear C*-algebras are amenable
• Jordan algebras and symmetric Siegel domains in Banach spaces
• Ternary weak amenability of the bidual of a \(\mathrm{JB}^*\)-triple
• Aron-Berner extensions of triple maps with application to the bidual of Jordan Banach triple systems
• TERNARY WEAKLY AMENABLE C*-ALGEBRAS AND JB*-TRIPLES
• LIFTING DERIVATIONS ANDn-WEAK AMENABILITY OF THE SECOND DUAL OF A BANACH ALGEBRA
• ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION
• Constructions preserving $n$-weak amenability of Banach algebras
• Weak*-continuity of Jordan triple products and its applications.
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