A new proof of an inequality of Bohr for Hilbert space operators

DOI10.1016/j.laa.2008.09.041zbMath1162.47016OpenAlexW2076579034MaRDI QIDQ999821

Shoshana Abramovich, Josipa Barić, Josip E. Pečarić

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.041

zbMATH Keywords

Bohr's inequality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15)

Related Items (4)

An order-preserving linear map from matrices to Banach \(\ast\)-algebras and applications ⋮ An inequality that subsumes the inequalities of Radon, Bohr, and Shannon ⋮ Inequalities for absolute value operators ⋮ Eigenvalue extensions of Bohr's inequality

Cites Work

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• Bohr's inequalities for Hilbert space operators
• Non-commutative operator Bohr inequality
• Variations and generalizations of Bohr's inequality
• On Bohr’s Inequalities

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