ON THE SPECTRUM AND HILBERT SCHIMIDT PROPERTIES OF GENERALIZED RHALY MATRICES

---

Mursaleen M., YILDIRIM M., DURNA N.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.1, ss.712-723, 2019 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 68 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.31801/cfsuasmas.464177
• 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.712-723
• Anahtar Kelimeler: Cesaro operators, terraced operators, Rhaly operators, generalized Cesaro operators, generalized terraced operators, spectrum, essential spectrum, Hilbert Schimidt, ANALYTIC-FUNCTIONS, CESARO OPERATOR
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we show that the multiplications of some generalized Rhaly operators are Hilbert Schimidt operators. We also calculate the spectrum and essential spectrum of a special generalized Rhaly matrices on the Hardy space H-2.