BEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE

Aron R. M., Caliskan E., Garcia D., Maestre M.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.368, sa.7, ss.4855-4871, 2016 (SCI-Expanded) identifier identifier

  • 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.