On the normality of the sum of two normal operators

DOI10.1007/S11785-010-0072-7zbMath1325.47050OpenAlexW1980044779MaRDI QIDQ371630

Mohammed Hichem Mortad

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0072-7

zbMATH Keywords

perturbationnormal operatorscommutativityself-adjoint operatorsbounded and unbounded operatorsrelative boundednesssum of operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (6)

On the closedness, the self-adjointness and the normality of the product of two unbounded operators ⋮ Unnamed Item ⋮ On generalized powers of operators ⋮ Unbounded products of operators and connections to Dirac-type operators ⋮ A criterion for the normality of unbounded operators and applications to self-adjointness ⋮ On the Normality of the Unbounded Product of Two Normal Operators

Cites Work

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• On commuting unbounded self-adjoint operators. II
• Perturbation of closed operators and their adjoints
• On the Adjoint and the Closure of the Sum of Two Unbounded Operators
• An application of the Putnam-Fuglede theorem to normal products of self-adjoint operators
• Self-adjointness of the perturbed wave operator on 𝐿²(𝑅ⁿ),𝑛≥2
• A Commutativity Theorem for Normal Operators

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