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Spectrally starred advertibly complete A-p-normed algebras
Álgebras A-p-normadas espectralmente estrella completas
DOI:
https://doi.org/10.15446/recolma.v57n1.112430Palabras clave:
Q-normed algebra, Advertibly complete algebra, Starred spectrum, Spectrally convex algebra, Spectrally starred algebra, Jacobson's radical, Involutive algebra, Normal element, Unitary element (en)álgebra Q-normada,, espectro estrella, álgebra espectralmente convexa, álgebra espectral estrella, radical de Jacobson, álgebra involutiva, elemento normal, elemento unitario (es)
Descargas
We show that an advertibly complete A-p normed algebra E is isomorphic to the complex field C, modulo its radical, in any of the following cases: 1) every element of E has a star-shaped spectrum, 2) E is involutive and every normal element of E has a star-shaped spectrum; 3) E is hermitian and every unitary element of E has a star-shaped spectrum.
Probamos que un álgebra A-p-normada E advertible completa es isomorfa al campo complejo C, módulo su radical, si se da una de las siguientes condiciones: 1) todo elemento de E tiene espectro en forma estrella, 2) el álgebra E es involutiva y todo elemento normal de E tiene espectro en forma estrella; 3) el álgebra E es hermitiana and todo elemento unitario de E tiene espectro en forma estrella.
Referencias
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