ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION

DOI10.1017/S0004972708000403zbMath1159.46027arXiv0711.1621OpenAlexW2963032250MaRDI QIDQ3533777

S. Mohammadzadeh, Hamid Reza Ebrahimi Vishki

Publication date: 24 October 2008

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

Full work available at URL: https://arxiv.org/abs/0711.1621

zbMATH Keywords

derivationArens productmodule actionsecond dualBanach module actionbounded bilinear map

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Structure, classification of topological algebras (46H20)

Related Items (18)

Ternary \(n\)-weak amenability of certain commutative Banach algebras and \(\mathrm{JBW}^*\)-triples ⋮ Some results on second transpose of a dual valued derivation ⋮ Arens regularity of module actions and weak amenability of Banach algebras ⋮ Weak module amenability for the second dual of a Banach algebra ⋮ Arens regularity andweakly compact operators ⋮ Unnamed Item ⋮ Some properties of \(LUC({\mathcal X},{\mathcal G})^*\) as a Banach left \(LUC({\mathcal G})^*\)-module ⋮ Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero ⋮ The bidual of a Banach algebra associated with a bilinear map ⋮ Topological centers of module actions induced by unitary representations ⋮ Aron-Berner extensions of triple maps with application to the bidual of Jordan Banach triple systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ LIFTING DERIVATIONS ANDn-WEAK AMENABILITY OF THE SECOND DUAL OF A BANACH ALGEBRA ⋮ ARENS REGULARITY AND STRONG IRREGULARITY OF CERTAIN BILINEAR MAPPINGS ⋮ Some notes for topological centers on the duals of Banach algebras ⋮ The first cohomology group and weak amenability of a Morita context Banach algebra ⋮ ARENS REGULARITY OF PROJECTIVE TENSOR PRODUCT

Cites Work

• Derivations on a C*-algebra and its double dual
• Weak compactness in the dual space of a \(C^*\)-algebra
• The second conjugate space of a Banach algebra as an algebra
• THE SECOND TRANSPOSE OF A DERIVATION
• Weakly Compact Bilinear Forms and Arens Regularity
• ARENS REGULARITY AND REFLEXIVITY
• A Simple Condition Ensuring the Arens Regularity of Bilinear Mappings
• The Dual Space of an Operator Algebra
• THE IRREGULARITY OF MULTIPLICATION IN GROUP ALGEBRAS
• The Adjoint of a Bilinear Operation

This page was built for publication: ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION