Ky Fan inequalities

There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.

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[19]  K. Fan Subadditive functions on a distributive lattice and an extension of Szász's inequality , 1967 .

[20]  Ky Fan,et al.  On real matrices with positive definite symmetric component , 1973 .

[21]  Ky Fan,et al.  On strictly dissipative matrices , 1974 .

[22]  K. Fan Julia's lemma for operators , 1979 .

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[29]  P. Yu A minimax theorem for vector-valued functions , 1989 .

[30]  T. Andô,et al.  The inequalities of W. Sierpinski and Ky Fan , 1990 .

[31]  H. Alzer Converses of two inequalities of Ky Fan, O. Taussky, and J. Todd , 1991 .

[32]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[33]  David W. Lewis,et al.  Matrix theory , 1991 .

[34]  F. Ferro A minimax theorem for vector-valued functions, part 2 , 1991 .

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[36]  K. Fan Some inequalities for matrices A such that A-I is positive definite or an M-Matrix ∗ , 1992 .

[37]  Horst Alzer,et al.  The inequality of Ky Fan and related results , 1995 .

[38]  On an additive analogue of Ky Fan's inequality , 1997 .

[39]  B. Mond,et al.  Matrix Inequalities for Convex Functions , 1997 .

[40]  Peter S. Bullen,et al.  A Dictionary of Inequalities , 1998 .

[41]  T. Furuta Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities , 1998 .

[42]  Fuzhen Zhang Matrix Theory: Basic Results and Techniques , 1999 .

[43]  Fuzhen Zhang,et al.  On the Hadamard product of inverse M-matrices , 2000 .

[44]  Horst Alzer,et al.  On Ky Fan-type inequalities , 2001 .

[45]  REFINEMENTS OF THE FAN-TODD‘S INEQUALITIES , 2002 .

[46]  E. Neuman,et al.  On the Ky Fan inequality and related inequalities I , 2002 .

[47]  Roger A. Horn,et al.  Inequalities and equalities for the Cartesian decomposition of complex matrices , 2002 .

[48]  A determinantal inequality , 2002 .

[49]  Jaspal Singh Aujla,et al.  Weak majorization inequalities and convex functions , 2003 .

[50]  J. Pečarić,et al.  On an integral inequality. , 2004 .

[51]  Peng Gao Some Refinements of Ky Fan's Inequality , 2004 .

[52]  Xingzhi Zhan On some matrix inequalities , 2004 .

[53]  J. Pečarić,et al.  Mond-pečarić method in operator inequalities : inequalities for bounded selfadjoint operators on Hilbert space , 2005 .

[54]  E. Neuman,et al.  On the Ky Fan inequality and related inequalities II , 2005, Bulletin of the Australian Mathematical Society.

[55]  J. Pečarić,et al.  Mond-Pecaric Method in Operator Inequalities , 2005 .

[56]  M. Jovanović,et al.  NOTES ON CERTAIN INEQUALITIES BY H ¨ OLDER, LEWENT AND KY FAN , 2007 .

[57]  R. Jackson Inequalities , 2007, Algebra for Parents.

[58]  X. Ding New Generalized R-KKM Type Theorems in General Topological Spaces and Applications , 2007 .

[59]  An approach to Ky Fan type inequalities from binomial expansions , 2008 .

[60]  José Luis Díaz-Barrero,et al.  On the Ky Fan inequality and some of its applications , 2008, Comput. Math. Appl..

[61]  Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality , 2009 .

[62]  M. Moslehian,et al.  A DIAZ-METCALF TYPE INEQUALITY FOR POSITIVE LINEAR MAPS AND ITS APPLICATIONS , 2011, 1102.5492.

[63]  Jagjit Singh Matharu,et al.  Eigenvalue extensions of Bohr’s inequality , 2011, 1101.3898.