Reflexivity and kernels in infinite dimensional holomorphy
Remark on analytic functions in ordered spaces
Resultados Recientes Sobre Espacios Polinomiales De Tipo Numerable.
Rigidity of holomorphic isometries
A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.
Rigidity of holomorphic maps and distortion of biholomorphic maps in operator Siegel domains
Results concerning the rigidity of holomorphic maps and the distortion of biholomorphic maps in infinite dimensional Siegel domains of -algebras are established. The homogeneity of the open unit balls in these algebras plays a key role in the arguments.
Rings of PDE-preserving operators on nuclearly entire functions
Let E,F be Banach spaces where F = E’ or vice versa. If F has the approximation property, then the space of nuclearly entire functions of bounded type, , and the space of exponential type functions, Exp(F), form a dual pair. The set of convolution operators on (i.e. the continuous operators that commute with all translations) is formed by the transposes , φ ∈ Exp(F), of the multiplication operators φ :ψ ↦ φ ψ on Exp(F). A continuous operator T on is PDE-preserving for a set ℙ ⊆ Exp(F) if it...