$q$-Difference Operator on $L_q^{2}( 0, + infty )$
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.72, sa.1, ss.247-258, 2023 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.31801/cfsuasmas.1121701
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.247-258
- Anahtar Kelimeler: q-difference operator, minimal operator, maximal operator
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this research, the minimal and maximal operators defined by $q$- difference expression are given in the Hilbert space $L_q^{2}( 0, + infty )$. The existence problem of a $q^{-1}$-normal extension for the minimal operator is mentioned. In addition, the sets of the minimal operator spectrum and the maximal operator spectrum are examined.