Shorter Notes: A Simplified Proof of Heinz Inequality and Scrutiny of its Equality

DOI10.2307/2045941zbMath0602.47005OpenAlexW1965928112MaRDI QIDQ3738084

Takayuki Furuta

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045941

zbMATH Keywords

Heinz inequalitybounded linear operator on a Hilbert space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (15)

Inequalities of Reid type and Furuta ⋮ The Schwarz inequality via operator-valued inner product and the geometric operator mean ⋮ Berezin number inequalities of operators on reproducing kernel Hilbert spaces ⋮ Notes on some inequalities for Hilbert space operators ⋮ On the geometry of the quadratic numerical range for 2 × 2 block operator matrices ⋮ Operator versions of inequalities and equalities on a Hilbert space ⋮ Inequalities involving Berezin norm and Berezin number ⋮ Schatten class operators in \(\mathcal{L}\left( L_a^2 \left( \mathbb{C}_+ \right) \right)\) ⋮ Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators ⋮ REFINING NUMERICAL RADIUS INEQUALITIES OF HILBERT SPACE OPERATORS ⋮ q -Numerical radius inequalities for Hilbert space ⋮ Schatten class Toeplitz operators on the Bergman space ⋮ On variance and covariance for bounded linear operators ⋮ Two Mixed Hadamard Type Generalizations of Heinz Inequality ⋮ More accurate numerical radius inequalities (II)

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