On the invertibility of the map \(T\rightarrow STS^{-1}+S^{-1}TS\) and operator-norm inequalities

DOI10.1016/0024-3795(93)90427-PzbMath0809.47019MaRDI QIDQ2365678

Leonya Livshits, Sing-Cheong Ong

Publication date: 29 June 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

normal invertible operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Equations involving linear operators, with operator unknowns (47A62) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (4)

Geometric operator inequalities ⋮ On some operator inequalities ⋮ Index of Hadamard multiplication by positive matrices. II ⋮ Index of Hadamard multiplication by positive matrices

Cites Work

• On the operator equation \(BX - XA = Q\)
• Commuting spectral measures on Hilbert space
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Solving Linear Operator Equations
• An operator inequality
• Unnamed Item
• Unnamed Item

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