Hermitian forms and inequalities for sequences and power series of operators in Hilbert spaces

DOI10.1515/awutm-2017-0005OpenAlexW2753177540MaRDI QIDQ2679523

Sever Silvestru Dragomir

Publication date: 23 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2017-0005

zbMATH Keywords

Hermitian formsHilbert spacesbounded linear operatorsnormal operatorsoperator norm and numerical radius

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of linear operators (47A99)

Cites Work

• Numerical range and accretivity of operator products
• A generalization of Grüss's inequality in inner product spaces and applications
• Some inequalities for Fourier coefficients in inner product spaces
• Norm inequalities of Čebyšev type for power series in Banach algebras
• Operator Inequalities of the Jensen, Čebyšev and Grüss Type
• Operator Inequalities of Ostrowski and Trapezoidal Type
• Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality
• On Bessel and Grüss inequalities for orthonormal families in inner product spaces
• Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
• Reverses of the Schwarz inequality generalising a Klamkin–McLenaghan result
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