Arens Regularity and the Algebra of Double Multipliers

DOI10.2307/2044211zbMath0489.46040OpenAlexW4253826968MaRDI QIDQ3951079

Bohdan J. Tomiuk

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044211

zbMATH Keywords

Arens regularitybounded approximate identityspace of double multipliersfirst Arens productweakly completely continuous Banach algebra

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Structure, classification of topological algebras (46H20) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (9)

Weakly compact multipliers on group algebras ⋮ Isomorphisms and multipliers on second dual algebras of Banach algebras ⋮ Biduals of Banach algebras which are ideals in a Banach algebra ⋮ The quasi-strict topology on the space of quasi-multipliers of a B^*-algebra ⋮ Compact and weakly compact multipliers of locally compact quantum groups ⋮ Banach algebras whose duals consist of multipliers ⋮ Arens semi-regular Banach algebras ⋮ Algebra involutions on the bidual of a Banach algebra ⋮ Ultrapowers of Banach algebras

Cites Work

• Unnamed Item
• Finding a maximal subalgebra on which the two Arens products agree
• Topological algebras with dense socle
• On some properties of Segal algebras and their multipliers
• A note on the Arens products
• Commutativity and ideals in the biduals of topological algebras
• The second conjugate space of a Banach algebra as an algebra
• Multipliers on Banach algebras
• An Introduction to the Theory of Centralizers

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