Ky Fan | Academic Influence

Ky Fan's AcademicInfluence.com Rankings

Ky Fan

Mathematics

#209

World Rank

#469

Historical Rank

Measure Theory

#223

World Rank

#345

Historical Rank

mathematics Degrees

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Mathematics

Ky Fan's Degrees

PhD Mathematics University of Chicago

Why Is Ky Fan Influential?

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According to Wikipedia, Ky Fan was a Chinese-born American mathematician. He was a professor of mathematics at the University of California, Santa Barbara. Biography Fan was born in Hangzhou, the capital of Zhejiang Province, China. His father, named Fan Qi , served in the district courts of Jinhua and Wenzhou. Ky Fan went to Jinhua with his father when he was eight years old and studied at several middle schools in Zhejiang, including the Jinhua High School , Hangzhou Zongwen High School , and Wenzhou High School. Fan obtained his secondary diploma from the Jinhua High School.

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Ky Fan'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

Minimax Theorems. (1953) (2477)
A generalization of Tychonoff's fixed point theorem (1961) (997)
Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces. (1952) (953)
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations: II. (1949) (620)
Extensions of two fixed point theorems of F. E. Browder (1969) (515)
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I. (1949) (463)
Some properties of convex sets related to fixed point theorems (1984) (450)
Theory of Retracts. (1968) (427)
Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators. (1951) (402)
Some metric inequalities in the space of matrices (1955) (248)
A GENERALIZATION OF TYCHONOFFS FIXED POINT THEOREM (1961) (179)
Applications of a theorem concerning sets with convex sections (1966) (138)
Imbedding Conditions for Hermitian and Normal Matrices (1957) (133)
Topological proofs for certain theorems on matrices with non-negative elements (1958) (124)
Some geometric properties of the spheres in a normed linear space (1958) (121)
A Generalization of Tucker's Combinatorial Lemma with Topological Applications (1952) (111)
Discrete analogs of inequalities of Wirtinger (1955) (102)
NOTE ON M -MATRICES (1960) (94)
Systems of inequalities involving convex functions (1957) (91)
On Systems of Linear Inequalities in Hermitian Matrix Variables (1962) (80)
Analytic functions of a proper contraction (1978) (63)
Simplicial maps from an orientable n-pseudomanifold into Sm with the octahedral triangulation* (1967) (56)
Some matrix inequalities (1966) (51)
On infinite systems of linear inequalities (1968) (45)
FULLY CONVEX NORMED LINEAR SPACES. (1955) (44)
Inequalities for M-Matrices*) (1964) (42)
Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations (1957) (41)
Note on circular disks containing the eigenvalues of a matrix (1958) (40)
Subadditive functions on a distributive lattice and an extension of Szász's inequality (1967) (36)
Julia's lemma for operators (1979) (34)
A generalization of the Alaoglu-Bourbaki theorem and its applications (1965) (34)
Some inequalities concerning positive-definite Hermitian matrices (1955) (30)
Iteration of analytic functions of operators (1982) (28)
Combinatorial properties of certain simplicial and cubical vertex maps (1960) (23)
Pick-Julia theorems for operators (1979) (22)
On strictly dissipative matrices (1974) (22)
On compactifications of freudenthal and wallman (1952) (20)
The angular derivative of an operator-valued analytic function. (1986) (20)
Invariant Subspaces for a Semigroup of Linear Operators (1965) (19)
A Covering Property of Simplexes. (1968) (19)
Asymptotic cones and duality of linear relations (1969) (19)
An inequality for subadditive functions on a distributive lattice, with application to determinantal inequalities (1968) (18)
Generalized cayley transforms and strictly dissipative matrices (1972) (17)
Lower bounds for the rank and location of the Eigenvalues of a matrix (1953) (17)
Evenly distributed subsets of Sn and a combinatorial application (1982) (17)
Partially Ordered Additive Groups of Continuous Functions (1950) (17)
A combinatorial property of pseudomanifolds and covering properties of simplexes (1970) (14)
Proceedings of the International Symposium on Linear Spaces. (1964) (14)
A Determinantal Inequality (1955) (14)
Invariant subspaces of certain linear operators (1963) (14)
Complete sequences and approximations in normed linear spaces (1957) (14)
Invariant cross-sections and invariant linear subspaces (1964) (13)
On real matrices with positive definite symmetric component (1973) (13)
Inequalities for proper contractions and strictly dissipative operators (1988) (12)
Distortion of univalent functions (1978) (12)
Nonlinear and Convex Analysis. Proceedings in Honor of Ky Fan (1990) (12)
Invitation to Combinatorial Topology (2003) (11)
COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES (1972) (9)
Harnack’s Inequalities for Operators (1980) (9)
Extension of invariant linear functionals (1977) (9)
Two applications of a consistency theorem for systems of linear inequalities (1975) (8)
A note concerning positive matrices and M-matrices (1959) (7)
On Dilworth's coding theorem (1972) (6)
Some inequalities for matrices A such that A-I is positive definite or an M-Matrix ∗ (1992) (6)
Some remarks on commutators of matrices (1954) (6)
On similarity of operators (1973) (6)
EVENLY DISTRIBUTED SUBSETS OF S AND A COMBINATORIAL APPLICATION (2012) (6)
Iteration of analytic functions of operators. II (1983) (6)
On the equilibrium value of a system of convex and concave functions (1958) (6)
On Positive Definite Sequences (1946) (6)
Sharpened forms of an inequality of von neumann (1987) (5)
Problems for Solution: 4428-4432 (1951) (5)
Inequalities: Theory of Majorization and Its Applications (Albert W. Marshall and Ingram Olkin) (1982) (5)
A remark on orthogonality of eigenvectors (1988) (5)
Continuity in Terms of Connectedness (1954) (5)
A comparison theorem for eigenvalues of normal matrices (1955) (4)
On local connectedness of locally compact Abelian groups (1970) (4)
A Survey of Some Results Closely Related to the Knaster–Kuratowski–Mazurkiewicz Theorem (1990) (4)
An identity for symmetric bilinear forms (1985) (4)
Orbits of semi-groups of contractions and groups of isometries (1976) (4)
Sums of eigenvalues of strictly J-positive compact operators☆ (1973) (3)
Note on a theorem of Banach (1952) (3)
Review: Robert Schatten, Norm ideals of completely continuous operators (1961) (3)
Problems for Solution: 4468-4472 (1952) (2)
Antipodal and Fixed Point Theorems for Sets in RnBounded by a Finite Number of Spheres (1999) (2)
Operator-valued typically real functions (1996) (2)
Distributive Order-Preserving Operations in Partially Ordered Vector Sets (1947) (2)
Two Mean Theorems in Hilbert Space. (1945) (2)
Simplicial Maps of Pseudomanifolds * (1970) (1)
Contributions to Functional Analysis (1966) (1)
Problems for Solution: 4863-4868 (1959) (1)
SYSTEMS OF INEQUALITIES INVOLVING CONVEX FUNCTIONS 1 (2010) (1)
Some aspects of the development of linear algebra in the last sixty years (1992) (1)
Problems for Solution: 4869-4874 (1959) (1)
Subadditive Functions on a Distributive Lattice and an Extension of Szisz’s inequality* (2003) (0)
On the Singular Values of Compact Operators (1971) (0)
Problems for Solution: 4763-4767 (1957) (0)
Iterative Solution of Linear Systems of Functional Equations (2016) (0)
Problems for Solution: 4783-4787 (1958) (0)
Antipodal Theorems for Sets in Rn Bounded by a Finite Number of Spheres (1999) (0)
Problems for Solution: E1301-E1305 (1958) (0)
Review: P. S. Aleksandrov, Combinatorial topology. Vol. 2. The Betti groups (1958) (0)
Problems for Solution: 4798-4803 (1958) (0)
Problems for Solution: 4473-4477 (1952) (0)
Problems for Solution: 4851-4856 (1959) (0)
Problems for Solutions: 4370,4400-4404 (1950) (0)
Book Review: Combinatorial topology. (1956) (0)
On Some Metrical Properties of Operator Matrices and Matrices Partitioned Into Blocks (1983) (0)
Topological vector spaces (1968) (0)
Vector Spaces and Matrices (Robert M. Thrall And Leonard Tornheim) (1959) (0)
Problems for Solution: 4578-4582 (1954) (0)
Problems for Solution: 4395-4399 (1950) (0)
SOME METRIC INEQUALITIES IN THE SPACE (2016) (0)
Review: P. S. Aleksandrov, Combinatorial topology Vol. 3 (1956) (0)
Problems for Solution: 4370-4374 (1949) (0)

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