On the disc-convexity of complex Banach manifolds
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
Let T be a representation of a suitable abelian semigroup S by isometries on a Banach space. We study the spectral conditions which will imply that T(s) is invertible for each s in S. On the way we analyse the relationship between the spectrum of T, Sp(T,S), and its unitary spectrum . For or , we establish connections with polynomial convexity.
We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.
Si esamina la successione spettrale per la -coomologia dello spazio totale di un fibrato olomorfo nel caso in cui le fibre siano varietà di Stein.