Characterization of Absolutely Norm Attaining Compact Hyponormal Operators
Characterization of Absolutely Norm Attaining Compact Hyponormal Operators
In this paper, we characterize absolute norm-attainability for compact hyponormal operators. We give necessary and sufficient conditions for a bounded linear compact hyponormal operator on an infinite dimensional complex Hilbert space to be absolutely norm attaining. Moreover, we discuss the structure of compact hyponormal operators when they are self-adjoint and normal. Lastly, we discuss in general, other properties of compact hyponormal operators when they are absolutely norm attaining and their commutators.
Keywords:
Norm-attainability, Compactness Hyponormal operator,
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- ISSN: 2717-6355
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2019
- Yayıncı: İbrahim ÇANAK
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Characterization of Absolutely Norm Attaining Compact Hyponormal Operators
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