Holomorphic automorphism groups in certain compact operator spaces

Carlo Petronio

Displaying similar documents to “Holomorphic automorphism groups in certain compact operator spaces”

Direct sums of Cartan factors

Carlo Petronio (1992)

Rendiconti del Seminario Matematico della Università di Padova

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Holomorphic isometries of Cartan domains of type four

Edoardo Vesentini (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The holomorphic isometries for the Kobayashi metric of Cartan domains of type four are characterized.

Rigidity of holomorphic isometries

Edoardo Vesentini (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.

Complex geodesics and isometries in Cartan domains of type four

Edoardo Vesentini (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Holomorphic maps of Cartan domains of type four preserving the supports of complex geodesics are characterized, providing, in particular, a new description of holomorphic isometries.

Holomorphic automorphisms and collective compactness in J*-algebras of operator

José Isidro (2007)

Open Mathematics

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Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball $B_{𝔄}$ in a J*-algebra $𝔄$ of operators. Let $𝔉$ be the family of all collectively compact subsets W contained in $B_{𝔄}$ . 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.