×

zbMATH — the first resource for mathematics

Holbrook, John A. R.

Compute Distance To:
Author ID: holbrook.john-a-r Recent zbMATH articles by "Holbrook, John A. R."
Published as: Holbrook, J.; Holbrook, J. A. R.; Holbrook, John; Holbrook, John A.; Holbrook, John A. R.
Documents Indexed: 61 Publications since 1967

Publications by Year

Citations contained in zbMATH

51 Publications have been cited 456 times in 356 Documents Cited by Year
Riemannian geometry and matrix geometric means. Zbl 1088.15022
Bhatia, Rajendra; Holbrook, John
94
2006
No dice: a deterministic approach to the Cartan centroid. Zbl 1325.47039
Holbrook, John
22
2012
Geometry of higher-rank numerical ranges. Zbl 1137.15016
Choi, Man-Duen; Giesinger, Michael; Holbrook, John A.; Kribs, David W.
20
2008
Unitarily invariant operator norms. Zbl 0477.47005
Fong, C.-K.; Holbrook, J. A. R.
19
1983
Multiplicative properties of the numerical radius in operator theory. Zbl 0176.43502
Holbrook, J. A. R.
19
1969
Higher-rank numerical ranges of unitary and normal matrices. Zbl 1133.15021
Choi, Man-Duen; Holbrook, John A.; Kribs, David W.; Życzkowski, Karol
17
2007
On the Clarkson-McCarthy inequalities. Zbl 0618.47008
Bhatia, Rajendra; Holbrook, John A. R.
15
1988
On the power-bounded operators of Sz.-Nagy and Foias. Zbl 0169.16801
Holbrook, J. A. R.
15
1968
Noiseless subsystems for collective rotation channels in quantum information theory. Zbl 1077.47059
Holbrook, John A.; Kribs, David W.; Laflamme, Raymond; Poulin, David
13
2005
Spectral variation of normal matrices. Zbl 0761.15017
Holbrook, John A.
13
1992
Approximating commuting operators. Zbl 0978.15011
Holbrook, John; Omladič, Matjaž
12
2001
Short normal paths and spectral variation. Zbl 0568.15012
Bhatia, Rajendra; Holbrook, John A. R.
12
1985
Schur norms and the multivariate von Neumann inequality. Zbl 0987.47002
Holbrook, John A.
11
2001
Numerical radii of zero-one matrices. Zbl 0692.47005
Davidson, Kenneth R.; Holbrook, John A. R.
10
1988
Inequalities of von Neumann type for small matrices. Zbl 0811.47016
Holbrook, John A.
9
1992
Unitary invariance and spectral variation. Zbl 0657.15019
Bhatia, Rajendra; Holbrook, John A. R.
9
1987
Quaternionic Fatou-Julia sets. Zbl 0639.30046
Holbrook, John A. R.
9
1987
Noncommutative geometric means. Zbl 1091.26022
Bhatia, Rajendra; Holbrook, John
8
2006
Restricted numerical shadow and the geometry of quantum entanglement. Zbl 1258.81018
Puchała, Zbigniew; Miszczak, Jarosław Adam; Gawron, Piotr; Dunkl, Charles F.; Holbrook, John A.; Życzkowski, Karol
7
2012
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
7
2000
Balayage defined by the nonnegative convex functions. Zbl 0444.46009
Fischer, P.; Holbrook, J. A. R.
7
1980
A Kallman-Rota inequality for nearly Euclidean spaces. Zbl 0303.47031
Holbrook, John A. R.
7
1974
Spectral dilations and polynomially bounded operators. Zbl 0219.47006
Holbrook, J. A. R.
7
1971
Seminorms and the Egoroff property in Riesz spaces. Zbl 0169.14802
Holbrook, J. A. R.
7
1968
Some thoughts on Gerstenhaber’s theorem. Zbl 1301.13022
Holbrook, J.; O’Meara, K. C.
6
2015
Numerical shadow and geometry of quantum states. Zbl 1226.81026
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Miszczak, Jarosław A.; Puchała, Zbigniew; Życzkowski, Karol
6
2011
Noiseless subsystems and the structure of the commutant in quantum error correction. Zbl 1130.94335
Holbrook, John A.; Kribs, David W.; Laflamme, Raymond
6
2003
Numerical shadows: measures and densities on the numerical range. Zbl 1227.15019
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Puchała, Zbigniew; Życzkowski, Karol
5
2011
Theory vs. experiment: multiplicative inequalities for the numerical radius of commuting matrices. Zbl 1192.15010
Holbrook, John; Schoch, Jean-Pierre
5
2010
Polynomials in a matrix and its commutant. Zbl 0505.15008
Holbrook, John A. R.
5
1982
Bertrand’s paradox revisited. Zbl 1052.60501
Holbrook, John; Kim, Sung Soo
4
2000
Maximal spectral distance. Zbl 0861.15019
Holbrook, John; Omladič, Matjaž; Šemrl, Peter
4
1996
A softer, stronger Lidskii theorem. Zbl 0675.15001
Bhatia, Rajendra; Holbrook, John A. R.
4
1989
Distortion coefficients for cryptocontractions. Zbl 0387.47009
Holbrook, John A. R.
4
1977
Operators similar to contractions. Zbl 0269.47007
Holbrook, John A. R.
4
1973
Polynomial bounds for small matrices. Zbl 1307.46044
Crouzeix, Michel; Gilfeather, Frank; Holbrook, John
3
2014
Moving zeros among matrices. Zbl 1118.15011
Holbrook, John; Schoch, Jean-Pierre
3
2007
Optimal measures for Toeplitz matrices. Zbl 1076.15023
Hladnik, Milan; Holbrook, John
3
2005
Fat diagonals and Fourier analysis. Zbl 1037.15008
Hladnik, Milan; Holbrook, John; Serra Capizzano, Stefano
3
2003
Statistical sampling and fractal distributions. Zbl 0879.60032
Gerow, Ken; Holbrook, John
3
1996
Distortion coefficients for crypto-unitary operators. Zbl 0371.47010
Holbrook, John A. R.
3
1978
Matrices sous-stochastiques et fonctions convexes. Zbl 0344.46002
Fischer, Pal; Holbrook, John A. R.
3
1977
Interpenetration of ellipsoids and the polynomial bound of a matrix. Zbl 0835.15017
Holbrook, John A.
2
1995
Stochastic independence and space-filling curves. Zbl 0481.60020
Holbrook, John A. R.
2
1981
Concerning the Hahn-Banach theorem. Zbl 0325.46025
Holbrook, John A. R.
2
1975
Inequalities governing the operator radii associated with unitary \(\rho\)- dilations. Zbl 0224.47003
Holbrook, John A. R.
2
1971
The mathematics of Chandler Davis. Zbl 1292.01046
Holbrook, John
1
2014
Densities for random balanced sampling. Zbl 1104.62059
Bubenik, Peter; Holbrook, John
1
2007
Quaternionic asteroids and starfields. Zbl 0529.68080
Holbrook, John A. R.
1
1983
Von Neumann’s inequality and the Poisson radius for operators. Zbl 0275.47004
Holbrook, J. A. R.
1
1974
The iterates of a contraction and its adjoint. Zbl 0215.20701
Holbrook, J. A. R.
1
1971
Some thoughts on Gerstenhaber’s theorem. Zbl 1301.13022
Holbrook, J.; O’Meara, K. C.
6
2015
Polynomial bounds for small matrices. Zbl 1307.46044
Crouzeix, Michel; Gilfeather, Frank; Holbrook, John
3
2014
The mathematics of Chandler Davis. Zbl 1292.01046
Holbrook, John
1
2014
No dice: a deterministic approach to the Cartan centroid. Zbl 1325.47039
Holbrook, John
22
2012
Restricted numerical shadow and the geometry of quantum entanglement. Zbl 1258.81018
Puchała, Zbigniew; Miszczak, Jarosław Adam; Gawron, Piotr; Dunkl, Charles F.; Holbrook, John A.; Życzkowski, Karol
7
2012
Numerical shadow and geometry of quantum states. Zbl 1226.81026
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Miszczak, Jarosław A.; Puchała, Zbigniew; Życzkowski, Karol
6
2011
Numerical shadows: measures and densities on the numerical range. Zbl 1227.15019
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Puchała, Zbigniew; Życzkowski, Karol
5
2011
Theory vs. experiment: multiplicative inequalities for the numerical radius of commuting matrices. Zbl 1192.15010
Holbrook, John; Schoch, Jean-Pierre
5
2010
Geometry of higher-rank numerical ranges. Zbl 1137.15016
Choi, Man-Duen; Giesinger, Michael; Holbrook, John A.; Kribs, David W.
20
2008
Higher-rank numerical ranges of unitary and normal matrices. Zbl 1133.15021
Choi, Man-Duen; Holbrook, John A.; Kribs, David W.; Życzkowski, Karol
17
2007
Moving zeros among matrices. Zbl 1118.15011
Holbrook, John; Schoch, Jean-Pierre
3
2007
Densities for random balanced sampling. Zbl 1104.62059
Bubenik, Peter; Holbrook, John
1
2007
Riemannian geometry and matrix geometric means. Zbl 1088.15022
Bhatia, Rajendra; Holbrook, John
94
2006
Noncommutative geometric means. Zbl 1091.26022
Bhatia, Rajendra; Holbrook, John
8
2006
Noiseless subsystems for collective rotation channels in quantum information theory. Zbl 1077.47059
Holbrook, John A.; Kribs, David W.; Laflamme, Raymond; Poulin, David
13
2005
Optimal measures for Toeplitz matrices. Zbl 1076.15023
Hladnik, Milan; Holbrook, John
3
2005
Noiseless subsystems and the structure of the commutant in quantum error correction. Zbl 1130.94335
Holbrook, John A.; Kribs, David W.; Laflamme, Raymond
6
2003
Fat diagonals and Fourier analysis. Zbl 1037.15008
Hladnik, Milan; Holbrook, John; Serra Capizzano, Stefano
3
2003
Approximating commuting operators. Zbl 0978.15011
Holbrook, John; Omladič, Matjaž
12
2001
Schur norms and the multivariate von Neumann inequality. Zbl 0987.47002
Holbrook, John A.
11
2001
Fréchet derivatives of the power function. Zbl 0988.47011
Bhatia, Rajendra; Holbrook, John A.
7
2000
Bertrand’s paradox revisited. Zbl 1052.60501
Holbrook, John; Kim, Sung Soo
4
2000
Maximal spectral distance. Zbl 0861.15019
Holbrook, John; Omladič, Matjaž; Šemrl, Peter
4
1996
Statistical sampling and fractal distributions. Zbl 0879.60032
Gerow, Ken; Holbrook, John
3
1996
Interpenetration of ellipsoids and the polynomial bound of a matrix. Zbl 0835.15017
Holbrook, John A.
2
1995
Spectral variation of normal matrices. Zbl 0761.15017
Holbrook, John A.
13
1992
Inequalities of von Neumann type for small matrices. Zbl 0811.47016
Holbrook, John A.
9
1992
A softer, stronger Lidskii theorem. Zbl 0675.15001
Bhatia, Rajendra; Holbrook, John A. R.
4
1989
On the Clarkson-McCarthy inequalities. Zbl 0618.47008
Bhatia, Rajendra; Holbrook, John A. R.
15
1988
Numerical radii of zero-one matrices. Zbl 0692.47005
Davidson, Kenneth R.; Holbrook, John A. R.
10
1988
Unitary invariance and spectral variation. Zbl 0657.15019
Bhatia, Rajendra; Holbrook, John A. R.
9
1987
Quaternionic Fatou-Julia sets. Zbl 0639.30046
Holbrook, John A. R.
9
1987
Short normal paths and spectral variation. Zbl 0568.15012
Bhatia, Rajendra; Holbrook, John A. R.
12
1985
Unitarily invariant operator norms. Zbl 0477.47005
Fong, C.-K.; Holbrook, J. A. R.
19
1983
Quaternionic asteroids and starfields. Zbl 0529.68080
Holbrook, John A. R.
1
1983
Polynomials in a matrix and its commutant. Zbl 0505.15008
Holbrook, John A. R.
5
1982
Stochastic independence and space-filling curves. Zbl 0481.60020
Holbrook, John A. R.
2
1981
Balayage defined by the nonnegative convex functions. Zbl 0444.46009
Fischer, P.; Holbrook, J. A. R.
7
1980
Distortion coefficients for crypto-unitary operators. Zbl 0371.47010
Holbrook, John A. R.
3
1978
Distortion coefficients for cryptocontractions. Zbl 0387.47009
Holbrook, John A. R.
4
1977
Matrices sous-stochastiques et fonctions convexes. Zbl 0344.46002
Fischer, Pal; Holbrook, John A. R.
3
1977
Concerning the Hahn-Banach theorem. Zbl 0325.46025
Holbrook, John A. R.
2
1975
A Kallman-Rota inequality for nearly Euclidean spaces. Zbl 0303.47031
Holbrook, John A. R.
7
1974
Von Neumann’s inequality and the Poisson radius for operators. Zbl 0275.47004
Holbrook, J. A. R.
1
1974
Operators similar to contractions. Zbl 0269.47007
Holbrook, John A. R.
4
1973
Spectral dilations and polynomially bounded operators. Zbl 0219.47006
Holbrook, J. A. R.
7
1971
Inequalities governing the operator radii associated with unitary \(\rho\)- dilations. Zbl 0224.47003
Holbrook, John A. R.
2
1971
The iterates of a contraction and its adjoint. Zbl 0215.20701
Holbrook, J. A. R.
1
1971
Multiplicative properties of the numerical radius in operator theory. Zbl 0176.43502
Holbrook, J. A. R.
19
1969
On the power-bounded operators of Sz.-Nagy and Foias. Zbl 0169.16801
Holbrook, J. A. R.
15
1968
Seminorms and the Egoroff property in Riesz spaces. Zbl 0169.14802
Holbrook, J. A. R.
7
1968
all top 5

Cited by 410 Authors

32 Lim, Yongdo
23 Bhatia, Rajendra
20 Holbrook, John A. R.
16 Kim, Sejong
14 Li, Chi-Kwong
13 Lee, Hosoo
11 Kittaneh, Fuad
11 Pálfia, Miklós
10 Kribs, David W.
9 Hiai, Fumio
7 Lawson, Jimmie Don
7 Poon, Yiu-Tung
7 Sze, Nung-Sing
6 Fujii, Jun Ichi
6 Gau, Hwa-Long
6 Seo, Yuki
6 Życzkowski, Karol
5 Hirzallah, Omar
5 Jain, Tanvi
5 Šivic, Klemen
5 Spitkovsky, Ilya Matvey
4 Choi, Hayoung
4 Iannazzo, Bruno
4 Li, Rencang
4 Okubo, Kazuyoshi
3 Ando, Tsuyoshi
3 Bini, Dario Andrea
3 Bourin, Jean-Christophe
3 Đoković, Dragomir Ž.
3 Gawron, Piotr
3 Ghiglioni, Eduardo M.
3 Katsouleas, Georgios
3 Kum, Sangho
3 Maroulas, John
3 Moslehian, Mohammad Sal
3 Neff, Patrizio
3 Okubo, Kousaku
3 O’Meara, Kevin C.
3 Omladič, Matjaž
3 Petz, Dénes
3 Škapin-Rugelj, Marjeta
3 Tsai, Ming Cheng
3 Wang, Kuo-Zhong
3 Weis, Stephan
3 Wu, Peiyuan
3 Yamazaki, Takeaki
2 Absil, Pierre-Antoine
2 Alrimawi, Fadi
2 An, Jinpeng
2 Ando, T. jun.
2 Ando, Takehiro
2 Barik, Sibaprasad
2 Bebiano, Natália Isabel Quadros
2 Bickel, Kelly
2 Bouldin, Richard
2 Cassier, Gilles
2 Chien, Mao-Ting
2 Clark, Sean
2 Crouzeix, Michel
2 da Providência Santarém e Costa, João
2 Das, Bata Krishna
2 Dodds, Theresa K.
2 Dragomir, Sever Silvestru
2 Drury, Stephen William
2 Dunkl, Charles F.
2 Elsner, Ludwig F.
2 Furuta, Takayuki
2 Goldberg, Moshe
2 Gupta, Bhisham C.
2 Gupta, Rajeev Kumar
2 Hansen, Frank-Peter
2 Hladnik, Milan
2 Jeuris, Ben
2 Jocić, Danko R.
2 Johnson, Charles Royal
2 Johnston, Nathaniel
2 Kawabe, Jun
2 Kissin, Edward V.
2 Knese, Greg
2 Lakner, Mitja
2 Lee, Eun-Young
2 Loring, Terry A.
2 McCarthy, John Edward
2 Moakher, Maher
2 Nobari, Elham
2 Partington, Jonathan R.
2 Pereira, Rajesh
2 Puchała, Zbigniew
2 Rajchgot, Jenna Beth
2 Ray, Samya Kumar
2 Sarkar, Jaydeb
2 Satriano, Matthew
2 Sepulchre, Rodolphe J.
2 Serra-Capizzano, Stefano
2 Shalit, Orr Moshe
2 Sra, Suvrit
2 Tsing, Nam-Kiu
2 Wang, Xingyuan
2 Wilde, Mark M.
2 Woerdeman, Hugo Jan
...and 310 more Authors
all top 5

Cited in 108 Serials

108 Linear Algebra and its Applications
23 Journal of Mathematical Analysis and Applications
23 Linear and Multilinear Algebra
19 Proceedings of the American Mathematical Society
12 Journal of Functional Analysis
8 Journal of Mathematical Physics
6 Mathematische Annalen
6 Transactions of the American Mathematical Society
6 Quantum Information Processing
5 Advances in Mathematics
4 Chaos, Solitons and Fractals
4 The Mathematical Intelligencer
4 Integral Equations and Operator Theory
3 Rocky Mountain Journal of Mathematics
3 SIAM Journal on Matrix Analysis and Applications
3 Forum Mathematicum
3 Complex Analysis and Operator Theory
3 Advances in Operator Theory
2 Bulletin of the Australian Mathematical Society
2 International Journal of Theoretical Physics
2 Studia Mathematica
2 The Annals of Statistics
2 BIT
2 Bulletin of the London Mathematical Society
2 Fuzzy Sets and Systems
2 Journal of Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Aequationes Mathematicae
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Advances in Geometry
2 Proceedings of the Japan Academy
2 Open Mathematics
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Biometrics
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Computer and System Sciences
1 Journal of the Korean Mathematical Society
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Bulletin of the Korean Mathematical Society
1 Operations Research Letters
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Extracta Mathematicae
1 International Journal of Approximate Reasoning
1 Journal of Elasticity
1 Proceedings of the National Academy of Sciences of the United States of America
1 Journal of Mathematical Imaging and Vision
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Numerical Linear Algebra with Applications
1 Advances in Applied Clifford Algebras
1 Bulletin des Sciences Mathématiques
1 Advances in Computational Mathematics
1 ELA. The Electronic Journal of Linear Algebra
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Open Systems & Information Dynamics
1 Taiwanese Journal of Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Physical Review Letters
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computational Methods and Function Theory
1 Foundations of Physics
1 Journal of Zhejiang University. Science A
1 The Annals of Applied Statistics
1 Banach Journal of Mathematical Analysis
1 Acta Universitatis Sapientiae. Mathematica
1 Advances in Mathematical Physics
1 Annals of Functional Analysis
...and 8 more Serials
all top 5

Cited in 44 Fields

181 Operator theory (47-XX)
168 Linear and multilinear algebra; matrix theory (15-XX)
44 Functional analysis (46-XX)
37 Quantum theory (81-XX)
24 Differential geometry (53-XX)
22 Real functions (26-XX)
20 Numerical analysis (65-XX)
20 Information and communication theory, circuits (94-XX)
15 Probability theory and stochastic processes (60-XX)
10 Measure and integration (28-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Statistics (62-XX)
8 Algebraic geometry (14-XX)
8 Functions of a complex variable (30-XX)
7 Convex and discrete geometry (52-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 History and biography (01-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Computer science (68-XX)
6 Operations research, mathematical programming (90-XX)
5 Commutative algebra (13-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Geometry (51-XX)
4 Group theory and generalizations (20-XX)
4 General topology (54-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Relativity and gravitational theory (83-XX)
3 Mathematical logic and foundations (03-XX)
3 Topological groups, Lie groups (22-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Systems theory; control (93-XX)
2 Combinatorics (05-XX)
2 Associative rings and algebras (16-XX)
2 Partial differential equations (35-XX)
2 Mechanics of deformable solids (74-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year