Geometric Operator Inequalities

Linear Algebra and Its Applications

Volumn 258, Issue 1-3, 1997, Pages 295-310

  Andruchow, E ^a   Corach, G ^a   Stojanoff, D ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346510992     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(96)00201-7     Document Type: Article

References (34)

1. T. Ando, Majorizations and inequalities in matrix theory, Linear Algebra Appl. 199:17-67 (1994).
2. E. Andruchow, G. Corach, and D. Stojanoff, A geometric characterization of nuclearity and injectivity, J. Funct. Anal. 132:474-494 (1995).
3. E. Andruchow, G. Corach, and D. Stojanoff, The homogeneous space of representations of a nuclear C*-algebra, Contemp. Math. 189:37-53 (1995).
4. E. Andruchow, L. Fialkow, D. A. Herrero, M. P. de Herrero, and D. Stojanoff, Joint similarity orbits with local cross sections, Integral Equations Operator Theory 13:1-48 (1990).
5. E. Andruchow, L. Recht, and D. Stojanoff, The space of spectral measures is a homogeneous reductive space, Integral Equations Operator Theory 16:1-14 (1993).
6. E. Andruchow and D. Stojanoff, Differentiable structure of similarity orbits, J. Operator Theory 21:349-366 (1989).
7. E. Andruchow and D. Stojanoff, Geometry of unitary orbits, J. Operator Theory 26:25-41 (1991).
8. E. Andruchow and D. Stojanoff, Nilpotent operators and systems of projections, J. Operator Theory 20:359-374 (1988).
9. R. Bhatia and C. Davis, More matrix forms of the arithmetic-geometric mean inequality, SIAM J. Matrix Anal. Appl. 14:132-136 (1993).
10. R. Bhatia and F. Kittaneh, On the singular values of a product of operators, SIAM J. Matrix Anal. Appl. 11:272-277 (1990).
11. G. Corach, Operator inequalities, geodesics and interpolation, in Functional Analysis and Operator Theory, Banach Center Publ. 30, 1994, pp. 101-115.
12. G. Corach, H. Porta, and L. Recht, Two C*-algebra inequalities, in Analysis in Urbana, Proceedings of the Special year in Modern Analysis at the University of Illinois (E. Berkson and J. Uhl, Eds.), London Math. Soc. Lecture Note Ser. 138, Cambridge U.P., 1989, pp. 141-143.
13. G. Corach, H. Porta, and L. Recht, Differential geometry of spaces of relatively regular operators, Integral Equations Operator Theory 13:771-794 (1990).
14. X / 2∥, Proc. Amer. Math. Soc. 115:229-231 (1992).
15. G. Corach, H. Porta, and L. Recht, Geodesics and operator means in the space of positive operators, Internat. J. Math. 4:193-202 (1993).
16. G. Corach, H. Porta, and L. Recht, The geometry of spaces of projections in C*-algebras, Adv. Math. 101:59-77 (1993).
17. G. Corach, H. Porta, and L. Recht, Differential geometry of systems of projections in Banach algebras, Pacific J. Math. 140:209-228 (1990).
18. G. Corach, H. Porta, and L. Recht, The geometry of spaces of selfadjoint invertible elements of a C*-algebra, Integral Equations Operator Theory 16:333-359 (1993).
19. G. Corach, H. Porta, and L. Recht, An operator inequality, Linear Algebra Appl. 142:153-158 (1990).
20. C. Davis, The norm of the Schur product operation, Numer. Math. 4:343-344 (1962).
21. J. I. Fujii, M. Fujii, T. Furuta, and R. Nakamoto, Norm inequalities equivalent to Heinz inequality, Proc. Amer. Math. Soc. 118:827-830 (1993).
22. J. I. Fujii, M. Fujii, T. Furuta, and R. Nakamoto, Norm inequalities related to McIntosh type inequality, Nihonkai Math. J. 3:67-72 (1992).
23. M. Fujii and R. Nakamoto, On certain norm inequalities, Math. Japon. 38:79-81 (1993).
24. T. Furuta, Norm inequalities equivalent to Löwner-Heinz theorem, Rev. Math. Phys. 1:135-137 (1989).
25. T. Furuta, A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm, Linear Algebra Appl. 208:223-228 (1994).
26. E. Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123:415-438 (1951).
27. R. H. Horn, Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms, Linear Algebra Appl. 223/224:119-129 (1995).
28. F. Kittaneh, A note on the arithmetic-geometric inequality for matrices, Linear Algebra Appl. 171:1-8 (1992).
29. F. Kittaneh, On some operator inequalities, Linear Algebra Appl. 208:19-28 (1994).
30. -1TS and operator-norm inequalities, Linear Algebra Appl. 183:117-129 (1993).
31. A. Maestripieri, On the geometry of the set of square roots of elements in C*-algebras, Integral Equations Operator Theory 19:290-326 (1994).
32. R. Mathias, An arithmetic-geometric-harmonic mean inequality involving Hadamard products, Linear Algebra Appl. 184:71-78 (1993).
33. A. McIntosh, Heinz Inequalities and Perturbation of Spectral Families, Macquarie Mathematics Reports 79-0006, 1979.
34. I. Segal, Notes toward the construction of nonlinear relativistic quantum fields III, Bull. Amer. Math. Soc. 75:1390-1395 (1969).