Unbounded operators having self‐adjoint, subnormal, or hyponormal powers

DOI10.1002/mana.202100390OpenAlexW4384281793MaRDI QIDQ6073226

Mohammed Hichem Mortad, Souheyb Dehimi

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202100390

zbMATH Keywords

unbounded operatorsnormal operatorshyponormal operatorsself-adjoint operatorsclosed operatorsrelatively prime numberssquare rootsquasinormal operatorssubnormal operatorsparanormal operatorspowers of operatorsspectrum and resolvent setBézout's theorem in arithmetic

Mathematics Subject Classification ID

Operator theory (47-XX) Computer science (68-XX)

Related Items (3)

Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• On the closability of paranormal operators
• Weyl's theorem for paranormal closed operators
• A lifting theorem for unbounded quasinormal operators
• Unbounded nilpotents and idempotents
• Domination of unbounded operators and commutativity.
• Lifting strong commutants of unbounded subnormal operators
• On the square root of a positive selfadjoint operator
• On unbounded hyponormal operators
• \(T^*T\) always has a positive selfadjoint extension
• Quasinormality of powers of commuting pairs of bounded operators
• Maximality of linear operators
• Subnormal \(n\)th roots of quasinormal operators are quasinormal
• Unbounded quasinormal operators revisited
• On \(n\)th roots of bounded and unbounded quasinormal operators
• Operators having selfadjoint squares
• A reversed von Neumann theorem
• BOUNDED AND UNBOUNDED OPERATORS SIMILAR TO THEIR ADJOINTS
• An implicit division of bounded and unbounded linear operators which preserves their properties
• On normal products of selfadjoint operators
• On the adjoint of Hilbert space operators
• On the operator equations Aⁿ = A*A
• Counterexamples in Operator Theory
• CHERNOFF-LIKE COUNTEREXAMPLES RELATED TO UNBOUNDED OPERATORS
• On a theorem of Z. Sebestyén and Zs. Tarcsay

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