BEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.368, no.7, pp.4855-4871, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 368 Issue: 7
- Publication Date: 2016
- Doi Number: 10.1090/tran/6499
- Journal Name: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.4855-4871
- Istanbul University Affiliated: Yes
Abstract
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.