Interpolation of entire functions and projective descriptions

[摘要] Special entire functions of completely regular growth with additional properties are utilized to interpolate entire functions with certain bounds, and to give an example of a weighted inductive limit of Banach spaces of entire functions such that its topology cannot be described by the canonical weighted sup-seminorms associated with the weights of the steps. This provides a new, more natural counterexample to a problem of Bierstedt, Meise, and Summers. (C) 1997 Academic Press.

[发布日期] 1997-01-15