Complex geodesics
Invariant distances and invariant differential metrics in locally convex spaces
Periodicity and almost periodicity in Markov lattice semigroups
Invariant metrics on convex cones
Variations on a theme of Carathéodory
Remarks on integral inequalities on complex manifolds
Holomorphic isometries of Cartan domains of type one
Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.
Semiflows and semigroups
Given a compact Hausdorff space and a strongly continuous semigroup of linear isometries of the Banach space of all complex-valued, continuous functions on , the semiflow induced by on is investigated. In the particular case in which is a compact, connected, differentiable manifold, a class of semigroups preserving the differentiable structure of is characterized.
Rigidity of holomorphic isometries
A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.
Non-régularité, en dimension 2, de la forme-résidu, aux points doubles quadratiques
Holomorphic semigroups of holomorphic isometries
A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
Non-subharmonicity of the Hausdorff distance
Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.
Aldo Andreotti
The Gleason-Kahane-Zelazko theorem and function algebras
A theorem due to A. Gleason, J.-P. Kahane and W. Zelazko characterizes continuous characters within the space of all continuous linear forms of a locally multiplicatively convex, sequentially complete algebra. The present paper applies these results to investigate linear isometries of Banach algebras (with particular attention to normal uniform algebras) and of some locally multiplicatively convex algebras. The locally multiplicatively convex algebra of all holomorphic functions on a domain, will...
Non-subharmonicity of the Hausdorff distance
Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.
Holomorphic semigroups of holomorphic isometries
A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
Aldo Andreotti
Holomorphic isometries of Cartan domains of type four
The holomorphic isometries for the Kobayashi metric of Cartan domains of type four are characterized.
On a class of inner maps
Let be a continuous map of the closure of the open unit disc of into a unital associative Banach algebra , whose restriction to is holomorphic, and which satisfies the condition whereby for all and whenever (where is the spectrum of any ). One of the basic results of the present paper is that is , that is to say, is then a compact subset of that does not depend on for all . This fact will be applied to holomorphic self-maps of the open unit ball of some -algebra...
Complex geodesics and isometries in Cartan domains of type four
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.
Page 1 Next