BEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.368, sa.7, ss.4855-4871, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 368 Sayı: 7
- Basım Tarihi: 2016
- Doi Numarası: 10.1090/tran/6499
- Dergi Adı: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.4855-4871
- İstanbul Üniversitesi Adresli: Evet
Özet
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.