Representation of Spaces of Entire Functions on Banach Spaces
Copyright policy )Representation of Spaces of Entire Functions on Banach Spaces
We prove the impossibility of expressing the space of entire functions on any infinite dimensional complex Banach space with a Schauder basis E as a countable union of spaces of entire functions that are bounded on countable open covers of E .
- Complutense University of Madrid Spain
- Kent State University United States
- University System of Ohio United States
inductive limit, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Schauder basis, holomorphic function on Banach space, Spaces defined by inductive or projective limits (LB, LF, etc.), Infinite-dimensional holomorphy, entire function on a Banach space
inductive limit, Spaces of differentiable or holomorphic functions on infinite-dimensional spaces, Schauder basis, holomorphic function on Banach space, Spaces defined by inductive or projective limits (LB, LF, etc.), Infinite-dimensional holomorphy, entire function on a Banach space
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