Ky Fan | Academic Influence

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 Papers

Minimax Theorems. (1953) (2313)
A generalization of Tychonoff's fixed point theorem (1961) (967)
Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces. (1952) (931)
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations: II. (1949) (599)
Extensions of two fixed point theorems of F. E. Browder (1969) (491)
Some properties of convex sets related to fixed point theorems (1984) (439)
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I. (1949) (433)
Theory of Retracts. (1968) (427)
Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators. (1951) (393)
Some metric inequalities in the space of matrices (1955) (244)
A GENERALIZATION OF TYCHONOFFS FIXED POINT THEOREM (1961) (174)
Applications of a theorem concerning sets with convex sections (1966) (134)
Imbedding Conditions for Hermitian and Normal Matrices (1957) (133)
Topological proofs for certain theorems on matrices with non-negative elements (1958) (123)
Some geometric properties of the spheres in a normed linear space (1958) (119)
A Generalization of Tucker's Combinatorial Lemma with Topological Applications (1952) (108)
Discrete analogs of inequalities of Wirtinger (1955) (101)
NOTE ON M -MATRICES (1960) (91)
Systems of inequalities involving convex functions (1957) (90)
On Systems of Linear Inequalities in Hermitian Matrix Variables (1962) (79)
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)
FULLY CONVEX NORMED LINEAR SPACES. (1955) (44)
On infinite systems of linear inequalities (1968) (44)
Inequalities for M-Matrices*) (1964) (41)
Note on circular disks containing the eigenvalues of a matrix (1958) (39)
Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations (1957) (38)
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) (29)
Iteration of analytic functions of operators (1982) (28)
Combinatorial properties of certain simplicial and cubical vertex maps (1960) (23)
On strictly dissipative matrices (1974) (22)
Pick-Julia theorems for operators (1979) (22)
The angular derivative of an operator-valued analytic function. (1986) (20)
On compactifications of freudenthal and wallman (1952) (20)
A Covering Property of Simplexes. (1968) (19)
Invariant Subspaces for a Semigroup of Linear Operators (1965) (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)
Partially Ordered Additive Groups of Continuous Functions (1950) (17)
Lower bounds for the rank and location of the Eigenvalues of a matrix (1953) (17)
Generalized cayley transforms and strictly dissipative matrices (1972) (17)
Evenly distributed subsets of Sn and a combinatorial application (1982) (17)
Proceedings of the International Symposium on Linear Spaces. (1964) (14)
Complete sequences and approximations in normed linear spaces (1957) (14)
A Determinantal Inequality (1955) (14)
Invariant subspaces of certain linear operators (1963) (14)
A combinatorial property of pseudomanifolds and covering properties of simplexes (1970) (14)
On real matrices with positive definite symmetric component (1973) (13)
Invariant cross-sections and invariant linear subspaces (1964) (13)
Nonlinear and Convex Analysis. Proceedings in Honor of Ky Fan (1990) (12)
Distortion of univalent functions (1978) (12)
Invitation to Combinatorial Topology (2003) (11)
Inequalities for proper contractions and strictly dissipative operators (1988) (11)
Extension of invariant linear functionals (1977) (9)
COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES (1972) (9)
Harnack’s Inequalities for Operators (1980) (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 similarity of operators (1973) (6)
On Positive Definite Sequences (1946) (6)
EVENLY DISTRIBUTED SUBSETS OF S AND A COMBINATORIAL APPLICATION (2012) (6)
Some inequalities for matrices A such that A-I is positive definite or an M-Matrix ∗ (1992) (6)
On Dilworth's coding theorem (1972) (6)
Iteration of analytic functions of operators. II (1983) (6)
On the equilibrium value of a system of convex and concave functions (1958) (6)
Some remarks on commutators of matrices (1954) (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)
Continuity in Terms of Connectedness (1954) (5)
A comparison theorem for eigenvalues of normal matrices (1955) (4)
A remark on orthogonality of eigenvectors (1988) (4)
Orbits of semi-groups of contractions and groups of isometries (1976) (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)
Note on a theorem of Banach (1952) (3)
Review: Robert Schatten, Norm ideals of completely continuous operators (1961) (3)
Sums of eigenvalues of strictly J-positive compact operators☆ (1973) (3)
Distributive Order-Preserving Operations in Partially Ordered Vector Sets (1947) (2)
Two Mean Theorems in Hilbert Space. (1945) (2)
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)
SYSTEMS OF INEQUALITIES INVOLVING CONVEX FUNCTIONS 1 (2010) (1)
Some aspects of the development of linear algebra in the last sixty years (1992) (1)
Contributions to Functional Analysis (1966) (1)
Problems for Solution: 4869-4874 (1959) (1)
Problems for Solution: 4863-4868 (1959) (1)
Simplicial Maps of Pseudomanifolds * (1970) (1)
Problems for Solution: 4395-4399 (1950) (0)
Problems for Solution: 4578-4582 (1954) (0)
Problems for Solution: 4783-4787 (1958) (0)
SOME METRIC INEQUALITIES IN THE SPACE (2016) (0)
Vector Spaces and Matrices (Robert M. Thrall And Leonard Tornheim) (1959) (0)
Book Review: Combinatorial topology. (1956) (0)
Problems for Solution: 4370-4374 (1949) (0)
Antipodal Theorems for Sets in Rn Bounded by a Finite Number of Spheres (1999) (0)
Problems for Solution: E1301-E1305 (1958) (0)
Iterative Solution of Linear Systems of Functional Equations (2016) (0)
On the Singular Values of Compact Operators (1971) (0)
Review: P. S. Aleksandrov, Combinatorial topology Vol. 3 (1956) (0)
Problems for Solutions: 4370,4400-4404 (1950) (0)
Problems for Solution: 4798-4803 (1958) (0)
Review: P. S. Aleksandrov, Combinatorial topology. Vol. 2. The Betti groups (1958) (0)
Problems for Solution: 4763-4767 (1957) (0)
Problems for Solution: 4473-4477 (1952) (0)
Subadditive Functions on a Distributive Lattice and an Extension of Szisz’s inequality* (2003) (0)
Topological vector spaces (1968) (0)
On Some Metrical Properties of Operator Matrices and Matrices Partitioned Into Blocks (1983) (0)
Problems for Solution: 4851-4856 (1959) (0)

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