Holomorphic automorphisms and collective compactness in J*-algebras of operator
José Isidro
Open Mathematics, Tome 5 (2007), p. 512-522 / Harvested from The Polish Digital Mathematics Library
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Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball B𝔄 in a J*-algebra 𝔄 of operators. Let 𝔉 be the family of all collectively compact subsets W contained in B𝔄 . We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family 𝔉 is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when 𝔄 is a Cartan factor.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:269061 
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     title = {Holomorphic automorphisms and collective compactness in J*-algebras of operator},
     journal = {Open Mathematics},
     volume = {5},
     year = {2007},
     pages = {512-522},
     zbl = {1145.32012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0016-2}
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José Isidro. Holomorphic automorphisms and collective compactness in J*-algebras of operator. Open Mathematics, Tome 5 (2007) pp. 512-522. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-007-0016-2/

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