Tameness in Frechet spaces of analytic functions

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Aytuna A.

STUDIA MATHEMATICA, cilt.232, sa.3, ss.243-266, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 232 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.4064/sm8423-3-2016
  • Dergi Adı: STUDIA MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.243-266
  • Anahtar Kelimeler: tameness of Frechet spaces, analytic function spaces, linear topological invariants, POWER-SERIES SPACES, SUBSPACES, MANIFOLDS, PAIRS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A Frechet space chi with a sequence {parallel to.parallel to k}(k=1)(infinity) of generating seminorms is called tame if there exists an increasing function sigma : N -> Nsuch that for every continuous linear operator T from chi into itself, there exist N-0 and C > 0 such that