6533b874fe1ef96bd12d6450
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Behavior of holomorphic mappings on $p$-compact sets in a Banach space
Manuel MaestreErhan ÇAlışkanRichard M. AronDomingo Garcíasubject
Discrete mathematicsPure mathematicsBergman spaceApproximation propertyApplied MathematicsGeneral MathematicsHolomorphic functional calculusBanach spaceHolomorphic functionBanach manifoldInfinite-dimensional holomorphyIdentity theoremMathematicsdescription
We study the behavior of holomorphic mappings on p-compact sets in Banach spaces. We show that the image of a p-compact set by an entire mapping is a p-compact set. Some results related to the localization of p-compact sets in the predual of homogeneous polynomials are also obtained. Finally, the "size" of p-compactness of the image of the unit ball by p-compact linear operators is studied.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-10-14 | Transactions of the American Mathematical Society |