Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators

DOI10.4064/ba62-2-6zbMath1447.47028arXiv1403.0523OpenAlexW1996333658MaRDI QIDQ2926669

Abdelkader Benali, Mohammed Hichem Mortad

Publication date: 3 November 2014

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0523

zbMATH Keywords

hyponormalFuglede-Putnam theoremKaplansky theoremsubnormal operatorsproducts of operatorsbounded and unbounded normal

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Some results on the classes of D-normal operators and n-power D-normal operators

Cites Work

• On sum and product of normal operators
• Unbounded quasinormal operators revisited
• Products of normal operators
• On the permutability of self-adjoint operators
• On the closedness, the self-adjointness and the normality of the product of two unbounded operators
• On the normality of operator products
• Commutativity of unbounded normal and self-adjoint operators and applications
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