Composition operator induced by φ (z) = SZ + t for which |s| ≤ 1, |t| < 1 and |s| + |t| ≤ 1
Other Title(s)
المؤثر التركيبي المتولد بالدالة φ (z) = sz + t لكل |s|≤1, |t|<1 و |s|+|t|≤1
Author
Source
Issue
Vol. 7, Issue 3 (30 Sep. 2010), pp.1266-1269, 4 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2010-09-30
Country of Publication
Iraq
No. of Pages
4
Main Subjects
Abstract AR
في هذا البحث أعطي وصف للمؤثر مرافق للمؤثر Cφ المتولد بواسطة الدالة φ(Z) = zs + t بحيث أن lsl ≤ 1, ltl < 1 أو lsl + ltl.
بالحقيقة برهن أنه المرافق هو عبارة عن ضرب المؤثرات نتوبلتز مع مؤثر تركيبي.
و كذلك درسنا تراص المؤثر التركيبي Cφ مع بعض النتائج التي هي حسب علمنا جديدة.
Abstract EN
We study in this paper the composition operator that is induced by φ (z) = sz + t.
We give a characterization of the adjoin of composition operators generated by self-maps of the unit ball of form φ (z) = sz + t for which |s| ≤ 1,|t|<1 and |s|+|t| ≤ 1.
In fact we prove that the adjoin is a product of toeplitz operators and composition operator.
Also, we have studied the compactness of C φ and give some other partial results.
American Psychological Association (APA)
Kazim, Samirah Naji. 2010. Composition operator induced by φ (z) = SZ + t for which |s| ≤ 1, |t| < 1 and |s| + |t| ≤ 1. Baghdad Science Journal،Vol. 7, no. 3, pp.1266-1269.
https://search.emarefa.net/detail/BIM-272242
Modern Language Association (MLA)
Kazim, Samirah Naji. Composition operator induced by φ (z) = SZ + t for which |s| ≤ 1, |t| < 1 and |s| + |t| ≤ 1. Baghdad Science Journal Vol. 7, no. 3 (2010), pp.1266-1269.
https://search.emarefa.net/detail/BIM-272242
American Medical Association (AMA)
Kazim, Samirah Naji. Composition operator induced by φ (z) = SZ + t for which |s| ≤ 1, |t| < 1 and |s| + |t| ≤ 1. Baghdad Science Journal. 2010. Vol. 7, no. 3, pp.1266-1269.
https://search.emarefa.net/detail/BIM-272242
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1269
Record ID
BIM-272242
