Artículo
Homomorphisms Between Algebras of Holomorphic Functions on the Infinite Polydisk
Fecha de publicación:
11/2020
Editorial:
Springer
Revista:
The Journal Of Geometric Analysis
ISSN:
1050-6926
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study the vector-valued spectrum M∞(Bc0,Bc0), that is, the set of nonzero algebra homomorphisms from H∞(Bc0) to H∞(Bc0) which is naturally projected onto the closed unit ball of H∞(Bc0,ℓ∞), likewise the scalar-valued spectrum M∞(Bc0) which is projected onto B¯ℓ∞. Our itinerary begins in the scalar-valued spectrum M∞(Bc0): by expanding a result by Cole et al. (Michigan Math J 39(3):551–569, 1992), we prove that in each fiber, there are 2 c disjoint analytic Gleason isometric copies of Bℓ∞. For the vector-valued case, building on the previous result we obtain 2 c disjoint analytic Gleason isometric copies of BH∞(Bc0,ℓ∞) in each fiber. We also take a look at the relationship between fibers and Gleason parts for both vector-valued spectra Mu,∞(Bc0,Bc0) and M∞(Bc0,Bc0).
Palabras clave:
ALGEBRAS OF HOLOMORPHIC FUNCTIONS
,
HOMOMORPHISMS OF ALGEBRAS
,
SPECTRUM
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Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Dimant, Veronica Isabel; Singer, Joaquín Camilo; Homomorphisms Between Algebras of Holomorphic Functions on the Infinite Polydisk; Springer; The Journal Of Geometric Analysis; 11-2020; 1-26
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