Monotone matrix functions of two variables

Linear Algebra and Its Applications

Volumn 328, Issue 1-3, 2001, Pages 131-152

  Singh, Mandeep ^a   Vasudeva, H L ^a  

^a PANJAB UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035342072     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00308-6     Document Type: Article

References (13)

1. T. Ando, Topics on operator inequalities, Lecture Notes, Hokkaido University, Sapporo, 1978.
2. Aujla J.S. Matrix convexity of functions of two variables. Linear Algebra Appl. 194:1993;149-160.
3. Bhatia R. Matrix Analysis. 1997;Springer, New York.
4. A.L. Brown, H.L. Vasudeva, The calculus of operator functions and operator convexity, Dissertation Mathemaicae, Polish Acad Sci., Warsaw, to appear.
5. Donoghue W.F. Monotone Matrix Functions and Analytic Continuation. 1974;Springer, Berlin.
6. Flett T.M. Differential Analysis. 1980;Cambridge University Press, Cambridge.
7. F. Hansen, Operator convex functions of several variables, Publ. RIMS, Kyoto Univ. 33 (1997) 443-463.
8. Hansen F., Pedersen G.K. Jensen's inequality for operators and Löwner's theorem. Math. Ann. 258:1982;229-241.
9. Korányi A. On some classes of analytic functions of several variables. Trans. Amer. Math. Soc. 101:1961;520-554.
10. Löwner K. Über monotone Matrixfunctionen. Math. Z. 38:1934;177-216.
11. W. Rudin, Functional Analysis, Tata McGraw-Hill, New York.
12. Treves F. Topological Vector Spaces, Distributions and Kernals. 1967;Academic Press, New York.
13. Vasudeva H.L. On monotone matrix functions of two variables. Trans. Amer. Math. Soc. 176:1973;305-318.