Norm inequalities in \({\mathcal{L}}({\mathcal{X}})\) and a geometric constant
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Publication:6543497
DOI10.1007/s43037-024-00342-0MaRDI QIDQ6543497
Publication date: 24 May 2024
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
linear operatorpolyhedral spacenumerical radius\(\alpha\)-norm\(\alpha\)-indexinequalities in normed linear space
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) Numerical range, numerical radius (47A12) Linear spaces of operators (47L05)
Cites Work
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- Development of inequalities and characterization of equality conditions for the numerical radius
- New upper bounds for the numerical radius of Hilbert space operators
- On the numerical index of polyhedral Banach spaces
- On a new norm on \(\mathcal{B}(\mathcal{H})\) and its applications to numerical radius inequalities
- On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of a normed linear space
- A geometric approach to numerical radius inequalities
- Lectures on numerical radius inequalities
- Cartesian decomposition and numerical radius inequalities
- Numerical index of vector-valued function spaces
- A numerical radius inequality involving the generalized Aluthge transform
- Numerical index of some polyhedral norms on the plane
- An Introduction to Banach Space Theory
- Numerical index of vector-valued function spaces
- An observation about normaloid operators
- The Numerical Index of a Normed Space
- Finite-Dimensional Normed Linear Spaces with Numerical Index 1
- Finite-dimensional Banach spaces with numerical index zero
- Approximate smoothness in normed linear spaces
- Numerical radius inequalities of sectorial matrices
- On joint numerical radius of operators and joint numerical index of a Banach space
- The numerical index of ℓp2
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