Get started
Keyword

numerical radius

Description: A scalar measure of a linear operator defined as the supremum of the absolute values in its numerical range, studied in operator theory.
OpenAlex ID: keywords/numerical-radius
Numerical Range: The Field of Values of Linear Operators and Matrices
1996 · Karl E. Gustafson · 458
Numerical radius inequalities for Hilbert space operators
2005 · Fuad Kittaneh · Studia Mathematica · 347
A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
2003 · Fuad Kittaneh · Studia Mathematica · 306
PDF
On upper and lower bounds of the numerical radius and an equality condition
2007 · Takeaki Yamazaki · Studia Mathematica · 230
PDF
Numerical radius inequalities for Hilbert space operators. II
2007 · Mohammad El-Haddad, Fuad Kittaneh · Studia Mathematica · 221
PDF
Numerical Radius Inequalities for Certain 2 × 2 Operator Matrices
2011 · Omar Hirzallah, Fuad Kittaneh, et al. · Integral Equations and Operator Theory · 144
Fields of values and iterative methods
1993 · Michael Eiermann · Linear Algebra and its Applications · 118
PDF
Lectures on Numerical Radius Inequalities
2022 · Pintu Bhunia, Silvestru Sever Dragomir, et al. · Infosys science foundation series · 117
Bounded linear operators between C∗-algebras
1993 · Uffe Haagerup, Gilles Pisier · Duke Mathematical Journal · 115
PDF
Numerical Radius Inequalities Involving 2 × 2 Block Matrices
2025 · Ahmad Al natoor, Fadi Alrimawi · European Journal of Pure and Applied Mathematics · 108
PDF
Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
2013 · Silvestru Sever Dragomir · SpringerBriefs in mathematics · 106
Bounds for eigenvalues of matrix polynomials
2002 · Nicholas J. Higham, Françoise Tisseur · Linear Algebra and its Applications · 106
PDF
Numerical radius inequalities for n × n operator matrices
2013 · Amer Abu-Omar, Fuad Kittaneh · Linear Algebra and its Applications · 100
Dilations of Γ-contractions by solving operator equations
2012 · Tirthankar Bhattacharyya, Sourav Pal, et al. · Advances in Mathematics · 98
PDF
On the numerical radius and its applications
1982 · Moshe Goldberg, Eitan Tadmor · Linear Algebra and its Applications · 97
The Numerical Radius of a Nilpotent Operator on a Hilbert Space
1992 · Uffe Haagerup, Pierre de la Harpe · Proceedings of the American Mathematical Society · 96
PDF
A generalization of the numerical radius
2019 · Amer Abu-Omar, Fuad Kittaneh · Linear Algebra and its Applications · 95
C-numerical ranges andC-numerical radii
1994 · Chi-Kwong Li · Linear and Multilinear Algebra · 94
Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
1996 · Yun Sung Choi, Sung Guen Kim · Journal of the London Mathematical Society · 93
Cartesian decomposition and numerical radius inequalities
2015 · Fuad Kittaneh, Mohammad Sal Moslehian, et al. · Linear Algebra and its Applications · 91
PDF
An elementary proof of the power inequality for the numerical radius.
1966 · Carl Pearcy · The Michigan Mathematical Journal · 87
PDF
Some generalized numerical radius inequalities for Hilbert space operators
2014 · Mostafa Sattari, Mohammad Sal Moslehian, et al. · Linear Algebra and its Applications · 84
PDF
Upper and lower bounds for the numerical radius with an application to involution operators
2015 · Amer Abu-Omar, Fuad Kittaneh · Rocky Mountain Journal of Mathematics · 83
Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
2006 · Sever S. Dragomir · Linear Algebra and its Applications · 82
PDF
Power Inequalities for the Numerical Radius of a Product of Two Operators in Hilbert Spaces
2024 · S. S. Dragomir · SARAJEVO JOURNAL OF MATHEMATICS · 79
PDF
Works count: 1,225
Citation count: 10,530
Year
Topic
Type