An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.
The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.
Let be a measure on a domain in such that the Bergman space of holomorphic functions in possesses a reproducing kernel and . The Berezin transform associated to is the integral...
In this paper, we consider an analytic family of holomorphic mappings and the sequence of iterates of . If the sequence is not compactly divergent, there exists an unique retraction adherent to the sequence . If is a strictly convex taut domain in and if the image of is of dimension , we prove that does not depend from . We apply this result to the existence of fixed points of holomorphic mappings on the product of two bounded strictly convex domains.