Vector-valued algebras and variants of amenability

Terje Hill; David A. Robbins

doi:10.56754/0719-0646.2703.619

DOI:

https://doi.org/10.56754/0719-0646.2703.619

Abstract

Let \(\{A_{x}:x\in X\}\) be a collection of complex Banach algebras indexed by the compact Hausdorff space \(X\). We investigate the weak- and pseudo-amenability of certain algebras \(\mathcal{A}\) of \(A_{x}\)-valued functions in relation to the corresponding properties of the \(A_{x}\).

Keywords

Function algebra , weak amenability , pseudo-amenability

Mathematics Subject Classification:

46H25 , 46H10 , 46J25

Terje Hill Wilkes Honors College, Florida Atlantic University, Jupiter, FL 33458, USA. https://orcid.org/0009-0001-3153-2857
David A. Robbins 5012 N. Via Velazquez, Tucson, AZ 85750; Trinity College, Hartford, CT 06106, USA. https://orcid.org/0009-0009-9434-0447

Pages: 619–633
Date Published: 2025-12-23
Vol. 27 No. 3 (2025)

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