Man‐duen Choi

Man‐duen Choi's AcademicInfluence.com Rankings

Man‐duen Choi

Mathematics

#7441

World Rank

#10118

Historical Rank

Linear Algebra

#19

World Rank

#23

Historical Rank

Functional Analysis

#61

World Rank

#78

Historical Rank

Measure Theory

#2171

World Rank

#2616

Historical Rank

mathematics Degrees

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Mathematics

Man‐duen Choi's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics Seoul National University

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Man‐duen Choi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Completely positive linear maps on complex matrices (1975) (2047)
Injectivity and operator spaces (1977) (528)
A schwarz inequality for positive linear maps on $C^{\ast}$-algebras (1974) (430)
The completely positive lifting problem for C*-algebras (1976) (287)
Positive Linear Maps on C*-Algebras (1972) (281)
Positive semidefinite biquadratic forms (1975) (245)
TRICKS OR TREATS WITH THE HILBERT MATRIX (1983) (172)
Nuclear C ∗ -Algebras and the Approximation Property (1978) (172)
Extremal positive semidefinite forms (1977) (166)
Gauss polynomials and the rotation algebra (1990) (148)
THE FULL C* -ALGEBRA OF THE FREE GROUP ON TWO GENERATORS (1980) (129)
Linear Maps Preserving Commutativity (1987) (99)
Higher-rank numerical ranges and compression problems (2005) (92)
Real zeros of positive semidefinite forms. I (1980) (87)
Quantum error correcting codes from the compression formalism (2005) (80)
A Simple C*-Algebra Generated by Two Finite-Order Unitaries (1979) (79)
ALMOST COMMUTING MATRICES NEED NOT BE NEARLY COMMUTING (1988) (57)
Density of the self-adjoint elements with finite spectrum in an irrational rotation $C^*$-algebra. (1990) (56)
Geometry of higher-rank numerical ranges (2008) (52)
Higher-Rank Numerical Ranges of Unitary and Normal Matrices (2006) (50)
Method to find quantum noiseless subsystems. (2005) (50)
Separable nuclear $C^\ast$-algebras and injectivity (1976) (42)
Comparing a Matrix to its Off-Diagonal Part (1989) (41)
Sums of Squares in Some Integral Domains (1980) (38)
Completely order Isomorphic and Close C*-Algebras need not BE, *-Isomorphic (1983) (38)
CONSTRAINED UNITARY DILATIONS AND NUMERICAL RANGES (2001) (35)
Product numerical range in a space with tensor product structure (2010) (31)
Lifting Problems and the Cohomology of C*-Algebras (1977) (29)
Numerical ranges and dilations (2000) (23)
The multiplicative domain in quantum error correction (2008) (22)
Convex combinations of projections (1990) (22)
The spectral mapping theorem for joint approximate point spectrum (1974) (22)
Equivalence of certain entropy contraction coefficients (1994) (21)
Triangularizing semigroups of quasinilpotent operators with non-negative entries (1993) (20)
The ultimate estimate of the upper norm bound for the summation of operators (2006) (15)
Transversal zeros and positive semidefinite forms (1982) (15)
Numerical ranges of the powers of an operator (2010) (13)
On the congruence numerical range and related functions of matrices (1987) (13)
On commutators and invariant subspaces (1981) (11)
Some Convexity Features Associated with Unitary Orbits (2003) (11)
A 3×3 dilation counterexample (2012) (10)
Sums of orthogonal projections (2014) (9)
Corners of normal matrices (2006) (8)
Positive sextics and Schur's inequalities (1991) (8)
Sums of 2m-th powers of rational functions in one variable over real closed fields (1996) (8)
TRACIAL POSITIVE LINEAR MAPS OF C*-ALGEBRAS (1983) (7)
Every invertible matrix is diagonally equivalent to a matrix with distinct eigenvalues (2012) (7)
Adjunction and Inversion of Invertible Hilbert-Space Operators (1973) (6)
Symmetry in the Cuntz algebra on two generators (2010) (5)
Norm bounds for summation of two normal matrices (2004) (5)
Finite-rank perturbations of positive operators and isometries (2006) (4)
The C*-algebra of symmetric words in two universal unitaries (2006) (4)
Perturbations of matrix algebras. (1986) (3)
Local numerical range: a versatile tool in the theory of quantum information (2009) (3)
A Survey of Chandler Davis (1994) (3)
Tracial positive linear maps of *-algebras (1983) (2)
C*-Crossed-Products by an Order-Two Automorphism (2006) (2)
Completion of operator partial matrices to square-zero contractions (1997) (2)
Quantum Error Correction and Higher-Rank Numerical Range (2005) (2)
Dilations to systems of matrix units (1982) (1)
On complementary matrix algebras (1990) (1)
Notes on the Norm Estimates for the Sum of Two Matrices (2003) (1)
Elementary Problems: E2944-E2949 (1982) (0)
Linear-algebraic results associated with antiferromagnetic Heisenberg chains (1993) (0)
Remembrances of Edward G. Effros (2020) (0)
Crossed-product C*-algebras for conformal automorphisms of the disk (2005) (0)
an 2 00 6 A Method To Find Quantum Noiseless Subsystems (2006) (0)
Error correcting codes for binary unitary channels on multipartite quantum systems (2006) (0)
Products of two normal operators (2020) (0)
Lecture Notes on Normal Dilations (2005) (0)
Lecture Notes on Normal Dilations(Recent Developments in Linear Operator Theory and its Applications) (2005) (0)
On unital qubit channels (2023) (0)
Chandler Davis as Mentor (2014) (0)
ALMOST COMMUTING MATRICES NEED NOT BE NEARLY (2010) (0)

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Man‐duen Choi's Academic­Influence.com Rankings

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Man‐duen Choi's Published Works

Published Works

Man‐duen Choi's AcademicInfluence.com Rankings