Algebra involutions on the bidual of a Banach algebra

DOI10.1007/BF01169012zbMath0572.46049MaRDI QIDQ1062251

Michael Grosser

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155030

zbMATH Keywords

Arens productA-modulealgebra involutionbidual of a Banach algebrabidual of the group algebrabounded two-sided approximate identity

Mathematics Subject Classification ID

General theory of topological algebras (46H05) General theory of topological algebras with involution (46K05) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (5)

Involutions and trivolutions on second dual of algebras related to locally compact groups and topological semigroups ⋮ Involutions on certain Banach algebras related to locally compact groups ⋮ Involutions and trivolutions in algebras related to second duals of group algebras ⋮ Solution to Farhadi–Ghahramani’s multiplier problem ⋮ Non uniqueness of invariant means for amenable group actions

Cites Work

• P-commutativity of the Banach algebra \(L_ 1^{(G)}\)
• The norm-strict bidual of a Banach algebra and the dual of Cu(G)
• Bidualräume und Vervollständigungen von Banachmoduln
• The second conjugate space of a Banach algebra as an algebra
• L 1 (G) as an Ideal in its Second Dual Space
• The second dual of a Banach algebra
• Arens Regularity and the Algebra of Double Multipliers
• The Radical of L ∞ (G) ∗
• THE IRREGULARITY OF MULTIPLICATION IN GROUP ALGEBRAS
• P-Commutative Banach ∗ -Algebras
• The Adjoint of a Bilinear Operation

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