The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces

ÇALIŞKAN E.

MATHEMATISCHE NACHRICHTEN, cilt.279, sa.7, ss.705-715, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 279 Sayı: 7
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1002/mana.200310387
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.705-715
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We study the bounded approximation property for spaces of holomorphic functions. We show that if U is a balanced open subset of a Frechet-Schwartz space or (DFM)-space E, then the space R(U) of holomorphic mappings on U, with the compact-open topology, has the bounded approximation property if and only if E has the bounded approximation property.