Recent Publications

Recent Publications - Dr. Paul C.-S. Lin

Dr. Paul C.-S. Lin
Department of Mathematics

Recent research publications from the year 2001 to 2006 inclusive:

C.-S. Lin, On High-Power Operator Inequalities and Spectral Radii, Research Institute For Mathematical Sciences, (Kyoto University, Kyoto, Japan), 42(2006): 391-397.

C.-S. Lin, On Generalization of Covariance and Variance, Journal of the Korea Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(2006): 137-149.

C.-S. Lin, On Semiinner Products and Seminorms in Linear Spaces, International Journal Of Pure and Applied Mathematics, 29(2006), 187-199.

C.-S. Lin, On (a,b,c,d)-0rthogonality in Normed Linear Spaces, Collequium Mathematicum. 103(2005): 1-10.

C.-S. Lin, Some Necessary Conditions That 2-Normed Space be 2-Inner Product Space, International Journal Of Pure and Applied Mathematics, 23(2005), 139-149.

C.-S. Lin, On Strictly Convex Space, Inner Product Space and Their Characterizations, Far East Journal of Mathematical Sciences (FJMS),} 19(2005), 121-132.

C.-S. Lin, Characteristic Properties for Inequalities in Hilbert Spaces, International Journal of Pure and Applied Mathematics, 12(2004): 61-77.

C.-S. Lin and Y. J. Cho, On Kantorovich Inequality and Holder-McCarthy Inequalities, Dynamics of Continuous, Discrete and Impulsive Systems. Series A: Mathematical Analysis 11(2004): 481-490.

C.-S. Lin, On Douglas's Majorization and Factorization Theorem with Applications, International Journal Of Mathematical Sciences, 3(2004): 1-11.

C.-S. Lin, On Two Types of Operator Inequalities Under Usual and Chaotic Orders, International Journal Of Pure and Applied Mathematics, 17(2004): 541-549.

C.-S. Lin, Generalized Covariance and Variance for Operators on Hilbert Spaces, Far East Journal of Mathematical Sciences (FJMS),} 8(2003): 89-107.

C.-S. Lin, On Operator Whose Norm Is an Eigenvalue, Bulletin, Institute Of Mathematics, Academia Sinica (Taipei, Taiwan), 31(2003): 1-9.

C.-S. Lin, An Operator Inequality on Hilbert Space With Applications, International Journal of Pure and Applied Mathematics, 8(2003): 31-42.

C.-S. Lin and Y. J. Cho, On Norm Inequalities of Operators on Hilberet Space, the Proceedings of the 7th International Conference 2001 on Nonlinear Functional Analysis and Applications, Inequality Theory and Applications, Nova Sci. Pub., Inc., 2(2003): 165-173.

C.-S. Lin, On Chaotic Order of Two Operators on Hilbert Space, Mathematical Inequalities and Applications, 6(2003): 701-712.

C.-S. Lin, On Log Trigonometric Functions, Crux Mathematicorum (Canadian Mathematical Society), 29(2003): 460-462.

C.-S. Lin, On Generalized Inequalities of Heinz, Halmos and Bernstein, Publications de L'Institut Mathematique, 73(87), (2003): 149-154.

C.-S. Lin and Y. J. Cho, On Holder-McCarthy-Type Inequalities with Powers, Journal of Korean Mathematical Society, 39(2002): 351-361.

C.-S. Lin, Heinz-Kato-Furuta-Type Inequalities with Bounds and Equality Conditions, Mathematical Inequalities and Applications, 5(2002): 735-743.

C.-S. Lin, On Inequalities in Inner Product and 2-Inner Product Spaces, International Journal of Pure and Applied Mathematics, 3(2002): 287-298.

C.-S. Lin, Polar Decomposition Approach to Reid's Inequality, Journal of Inequalities and Applications, 7(2002): 779-785

C.-S. Lin, Inequalities of Reid Type and Furuta, Proceedings of the American Mathematical Society, 129(2001): 855-859.

C.-S. Lin, The Volume of a Tetrahedron and Areas of Its Faces, Crux Mathematicorum. (Canadian Mathematical Society), 27(2001): 207-212.

C.-S. Lin, On Variance and Covariance for Bounded Linear Operators, Acta Mathematica Sinica (Academia Sinica, Beijing, China), 17(2001): 657-668.

C.-S. Lin, Summation of Finite Series of Integers, Crux Mathematicorum. (Canadian Mathematical Society), 27(2001): 510-513.

C.-S. Lin, On Sharpening and Characterizing Operator Inequalities, Bulletin of Institute Of Mathematics, Academia Sinica (Taipei, Taiwan), 29(2001): 243-261.

Yeol Je Cho, Paul C.-S. Lin, Seong Sik Kim and Aleksander Misiaka, "Theory of 2-Inner Product Spaces", 330 pages, Nova Science Publishers, Inc, New York, 2001.

C.-S. Lin, Cauchy-Schwarz Inequality and Generalized Bernstein-Type Inequalities, the Proceedings of the 6th International Conference 2000 on Nonlinear Functional Analysis and Applications, Inequality Theory and Applications, Nova Sci. Pub., Inc., 1(2001): 209-217.