Holomorphe Vektorfelder und Transformationsgruppen komplexer Räume
Contractive projections on Jordan C*-algebras and generalizations.
Algebraic Characterization of Symmetrie Complex Banach Manifolds.
Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. I.
Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. II.
Einige Bemerkungen über polynomiale Vektorfelder, Jordanalgebren und die Automorphismen von Siegelschen Gebieten.
On real Cartan factors.
On JB*-triples defined by fibre bundles.
Über die Automorphismen Graßmannscher Mannigfaltigkeiten unendlicher Dimension.
A Riemann Mapping Theorem for Bounded Symmetric Domains in Complex Banach Spaces.
Über das Randverhalten von holomorphen automorphismen beschränkter Gebiete.
On the CR-structure of certain linear group orbits in infinite dimensions
For large classes of complex Banach spaces (mainly operator spaces) we consider orbits of finite rank elements under the group of linear isometries. These are (in general) real-analytic submanifolds of infinite dimension but of finite CR-codimension. We compute the polynomial convex hull of such orbits explicitly and show as main result that every continuous CR-function on has a unique extension to the polynomial convex hull which is holomorphic in a certain sense. This generalizes to infinite...
Hyperbolische komplexe Raüme
Dans la catégorie des espaces analytiques complexes on définit la notion d’esapce hyperbolique. Par exemple, est un espace hyperbolique, si admet un revêtement qui est séparé par les fonctions bornées holomorphes et qui jouit de la propriété suivante : (1) est homogène, ou (2) est revêtement d’un espace compact, ou (3) est un domaine borné strictement pseudoconvexe dans .
Bounded symmetric domains and derived geometric structures
Every homogeneous circular convex domain (a bounded symmetric domain) gives rise to two interesting Lie groups: The semi-simple group of all biholomorphic automorphisms of and its isotropy subgroup at the origin (a maximal compact subgroup of ). The group acts in a natural way on the compact dual of (a certain compactification of that generalizes the Riemann sphere in case is the unit disk in ). Various authors have studied the orbit structure of the -space , here we are interested...
Jordan Algebras and Symmetric Siegel Domains in Banach Spaces.
An Infinitesimal Version of Cartan's Uniqueness Theorem.
On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
We present a large class of homogeneous 2-nondegenerate CR-manifolds , both of hypersurface type and of arbitrarily high CR-codimension, with the following property: Every CR-equivalence between domains , in extends to a global real-analytic CR-automorphism of . We show that this class contains -orbits in Hermitian symmetric spaces of compact type, where is a real form of the complex Lie group and has an open orbit that is a bounded symmetric domain of tube type.
Weak continuity of holomorphic automorphisms in JB-triples.
A Holomorphic Characterization of Jordan C*-Algebras.
Symmetry and local conjugacy on complex manifolds.
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