Published January 1, 2016
| Version v1
Journal article
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BEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE
- 1. Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
- 2. Yildiz Tech Univ, Fac Sci & Arts, Dept Math, TR-34210 Istanbul, Turkey
- 3. Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, Burjassot 46100, Valencia, Spain
Description
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.
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