Ph.D. Tezi Görüntüleme | |||||||||||||||||||||
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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≤p<∞ 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.
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