On the Normality of the Unbounded Product of Two Normal Operators

DOI10.2478/conop-2012-0002zbMath1293.47004OpenAlexW2000022157MaRDI QIDQ2851040

Mohammed Hichem Mortad

Publication date: 2 October 2013

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/conop-2012-0002

zbMATH Keywords

unbounded operatorsnormal operatorsFuglede-Putnam theorem

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (2)

Unbounded products of operators and connections to Dirac-type operators ⋮ Commutativity up to a factor for bounded and unbounded operators

Cites Work

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• On the normality of the sum of two normal operators
• An all-unbounded-operator version of the Fuglede-Putnam theorem
• On some product of two unbounded self-adjoint operators
• On sum and product of normal operators
• The Fuglede-Putnam theorem and normal products of matrices
• Positive (noncommuting) operator products and semigroups
• Normal products of matrices
• A note on infinite normal matrices
• Products of normal operators
• Products of Unbounded Normal Operators
• On the closedness, the self-adjointness and the normality of the product of two unbounded operators
• On the normality of operator products
• An application of the Putnam-Fuglede theorem to normal products of self-adjoint operators
• On projections of selfadjoint operators and operator product adjoints

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