The existence of a factorized unbounded operator between Frechet spaces
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.13, sa.1, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.1142/s1793557120500175
- Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Anahtar Kelimeler: Frechet spaces, Kothe spaces, unbounded operators, bounded factorization property
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
For locally convex spaces E and F, the continuous linear map T : E -> F is called bounded if there is a zero neighborhood U of E such that T(U) is bounded in F. Our main result is that the existence of an unbounded operator T between Frechet spaces E and F which factors through a third Frechet space G ends up with the fact that the triple (E, G, F) has an infinite dimensional closed common nuclear Kothe subspace, provided that F has the property (y).