On properties of the operator equation TT*=T+T*

DOI10.2298/FIL1806247AzbMath1485.47018MaRDI QIDQ5023940

Eungil Ko, Il Ju An

Publication date: 28 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

spectrumoperator equationssingle valued extension property

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) (Semi-) Fredholm operators; index theories (47A53) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

• Linear operators for which T\(^*\)T and TT\(^*\) commute. II
• Spectral Properties of Linear Operators for which T ∗ T and T + T ∗ Commute
• Another note on Weyl’s theorem
• Browder's theorems and spectral continuity
• Invertible completions of $2\times 2$ upper triangular operator matrices
• The spectra of compact operators in Hilbert spaces
• Hyponormal contractions
• Linear Operators for which T ∗ T and TT ∗ Commute
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