Zero jordan product determined Banach algebras
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Identificadores
URI: http://hdl.handle.net/10481/70884Exportar
Metadatos
Mostrar el registro completo del ítemEditorial
Cambridge University
Materia
C*-algebras Group algebra Zero Jordan product determined Banach algebra Zero product determined Banach algebra Symmetrically amenable Banach algebra Weakly amenable Banach algebra
Fecha
2019-02-13Referencia bibliográfica
Published version: ALAMINOS, J... [et al.] (2021). ZERO JORDAN PRODUCT DETERMINED BANACH ALGEBRAS. Journal of the Australian Mathematical Society, 111(2), 145-158. doi:[10.1017/S1446788719000478]
Resumen
A Banach algebra A is said to be a zero Jordan product determined Banach algebra if, for every Banach space X, every bilinear map phi : A x A -> X satisfying phi(a, b) = 0 whenever a, b is an element of A are such that ab + ba = 0, is of the form phi(a, b) = sigma(ab + ba) for some continuous linear map sigma. We show that all C*-algebras and all group algebras L-1(G) of amenable locally compact groups have this property and also discuss some applications.
Colecciones
Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución-NoComercial-SinDerivadas 3.0 España