Some extensions of the Young and Heinz inequalities for matrices

DOI10.1007/s41980-018-0064-3zbMath1407.15025arXiv1705.02585OpenAlexW2963259592MaRDI QIDQ1734095

Monire Hajmohamadi, Mojtaba Bakherad, Rahmatollah Lashkaripour

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02585

zbMATH Keywords

convex functionunitarily invariant normYoung inequalitypositive semidefinite matrixHeinz inequalityHilbert-Schmidt norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Convexity of real functions in one variable, generalizations (26A51)

Related Items (8)

Unnamed Item ⋮ Generalizations of the Aluthge transform of operators ⋮ Improvements of Berezin number inequalities ⋮ A new generalized refinements of Young's inequality and applications ⋮ Berezin number inequalities for operators ⋮ Complete refinements of the Berezin number inequalities ⋮ New estimations for the Berezin number inequality ⋮ Berezin number and numerical radius inequalities for operators on Hilbert spaces

Cites Work

• Unnamed Item
• A complete refinement of Young's inequality
• Reverse Young-type inequalities for matrices and operators
• Operator inequalities involving improved Young and its reverse inequalities
• Improved Young and Heinz inequalities for matrices
• Arithmetic-geometric mean and related inequalities for operators
• Norm inequalities for fractional powers of positive operators
• Extensions of interpolation between the arithmetic-geometric mean inequality for matrices
• Further generalizations, refinements, and reverses of the Young and Heinz inequalities
• The matrix arithmetic-geometric mean inequality revisited
• Reverses and variations of Heinz inequality
• Matrix Analysis
• Some generalizations of numerical radius on off-diagonal part of 2 × 2 operator matrices

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