On the injective norm and characterization of some subclasses of normal operators by inequalities or equalities

DOI10.1016/j.jmaa.2008.10.008zbMath1154.47007OpenAlexW2024378016WikidataQ123167517 ScholiaQ123167517MaRDI QIDQ2518294

Ameur Seddik

Publication date: 15 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.10.008

zbMATH Keywords

tensor product spaceself-adjoint operatorunitary operatornormal operatorinjective norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Numerical range, numerical radius (47A12) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (8)

Operator inequalities related to the arithmetic-geometric mean inequality and characterizations ⋮ Operator inequalities related to the Corach-Porta-Recht inequality ⋮ A characterization of the class of partial isometries ⋮ On the characterizations of some distinguished subclasses of Hilbert space operators ⋮ Normal operators and inequalities in norm ideals ⋮ Selfadjoint operators, normal operators, and characterizations ⋮ Characterization of the class of unitary operators by operator inequalities ⋮ On the Characterization of Normal Closed Range Operators Maryam Khosravi

Cites Work

• Rank one operators and norm of elementary operators
• Some results related to the Corach-Porta-Recht inequality
• On the injective norm of ∑_i=1^n A_i ∑ B_i and characterization of normaloid operators
• On the norm of symmetrised two-sided multiplications
• An operator inequality

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