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For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.
Hessenberger, Gerald. "Analytic properties of the spectrum in Banach Jordan Systems.." Collectanea Mathematica 47.3 (1996): 277-284. <http://eudml.org/doc/40317>.
@article{Hessenberger1996, abstract = {For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.}, author = {Hessenberger, Gerald}, journal = {Collectanea Mathematica}, keywords = {Algebras asociativas; Algebras de Jordan; Algebra de Banach; Operadores acotados; Función subarmónica; Multifunción; Funciones analíticas; Ideal de operadores; Banach Jordan pairs; Banach Jordan algebras; spectrum; analytic multifunction; upper semicontinuous; scarcity theorem}, language = {eng}, number = {3}, pages = {277-284}, title = {Analytic properties of the spectrum in Banach Jordan Systems.}, url = {http://eudml.org/doc/40317}, volume = {47}, year = {1996}, }
TY - JOUR AU - Hessenberger, Gerald TI - Analytic properties of the spectrum in Banach Jordan Systems. JO - Collectanea Mathematica PY - 1996 VL - 47 IS - 3 SP - 277 EP - 284 AB - For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds. LA - eng KW - Algebras asociativas; Algebras de Jordan; Algebra de Banach; Operadores acotados; Función subarmónica; Multifunción; Funciones analíticas; Ideal de operadores; Banach Jordan pairs; Banach Jordan algebras; spectrum; analytic multifunction; upper semicontinuous; scarcity theorem UR - http://eudml.org/doc/40317 ER -