Ph.D. Tezi Görüntüleme

Student: Lale CONA
Supervisor: Prof. Dr. Zameddin İSMAİLOV
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: Singular Numbers of Direct Sum Operators
Level: Ph.D.
Acceptance Date: 10/10/2014
Number of Pages: 81
Registration Number: Di1048
Summary:

      In this thesis, the relationships between of boundedness and compactness properties, parts of spectrums and some s-number functions of direct sum of operators defined on the direct sum of Banach spaces in the sense of l_p ,1&#8804;p<&#8734; and coordinate operators are investigated. The obtained results are supported with examples.

      

Key Words: Direct sum of Banach spaces in the sense of l_p ,1≤p<∞; Direct sum of operators; Linear bounded operator; Compact operator; Spectrum and resolvent set of operator; s-number function; Approximation numbers; Gelfand numbers; Weyl numbers.