Fréchet derivatives of the power function

Indiana University Mathematics Journal

Volumn 49, Issue 3, 2000, Pages 1155-1173

  Bhatia, Rajendra ^a   Holbrook, John A ^b  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b UNIVERSITY OF GUELPH   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039032396     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2000.49.1761     Document Type: Article

References (18)

1. J. R. ANGELOS, C. C. COWEN, AND S. K. NARAYAN, Triangular truncation and finding the norm of a Hadamard multiplier, Linear Alg. Appl. 170 (1992), 117-136.
2. R. BHATIA, First and second order perturbation bounds for the operator absolute value, Linear Alg. Appl. 208 (1994), 367-376.
3. R. BHATIA, Perturbation bounds for the operator absolute value, Linear Alg. Appl. 226 (1995), 639-645.
4. R. BHATIA, Matrix Analysis, Springer Verlag, New York, 1997.
5. R. BHATIA AND F. KITTANEH, Norm inequalities for positive operators, Letters in Mathematical Physics 43 (1998), 225-231.
6. R. BHATIA AND K. R. PARTHASARATHY, Positive definite functions and operator inequalities, Bull. London Math. Soc. 32 (2000), 214-228.
7. R. BHATIA AND K. B. SINHA, Variation of real powers of positive operators, Indiana Univ. Math. J. 43 (1994), 913-925.
8. R. BHATIA AND K. B. SINHA, Derivations, derivatives, and chain rules, Linear Alg. Appl. 302/303 (1999), 231-244.
9. R. BHATIA, D. SINGH, AND K. B. SINHA, Differentiation of operator functions and perturbation bounds, Commun. Math. Phys. 191 (1998), 603-611.
10. C. C. COWEN, M. A. DRITSCHEL, AND R. C. PENNEY, Norms of Hadamard multipliers, SIAM J. Matrix Anal. Appl. 15 (1994), 313-320.
11. C. COWEN, K. DEBRO, AND P. SEPANSKI, Geometry and the norms of Hadamard multipliers, Linear Alg. Appl. 218 (1995), 234-249.
12. U. HAAGERUP, Decompositions of completely bounded maps on operator algebras, preprint 1984.
13. R. A. HORN AND C. R. JOHNSON, Matrix Analysis, Cambridge University Press, 1985.
14. R. A. HORN AND C. R. JOHNSON, Topics in Matrix Analysis, Cambridge University Press, 1991.
15. R. MATHIAS, Matrix completions, norms, and Hadamard products, Proc. Amer. Math. Soc. 117 (1993), 905-918.
16. P. QUIGGIN, For which reproducing kernel Hilbert spaces is Pick's theorem true?, Integr. Equat. Oper. Th. 16 (1993), 244-266.
17. I. SCHUR, Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine Angew. Math. 140 (1911), 1-28.
18. F. H. SZAFRANIEC, On bounded holomorphic interpolation in several variables, Monatsh. Math. 101 (1986), 59-66.