Some inequalities for unitarily invariant norms

Linear Algebra and Its Applications

Volumn 436, Issue 6, 2012, Pages 1623-1631

  Matharu, Jagjit Singh ^a   Aujla, Jaspal Singh ^a  

^a DR B R AMBEDKAR NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Positive definite matrix; Singular values; Unitarily invariant norm

Indexed keywords

LINEAR ALGEBRA; MATHEMATICAL TECHNIQUES;

COMPLEX MATRICES; EIGENVALUES; POSITIVE DEFINITE; POSITIVE-DEFINITE MATRICES; SINGULAR VALUES; UNITARILY INVARIANT NORM;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 84861099313     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2010.08.013     Document Type: Article

References (8)

1. J.S. Aujla, J.C. Bourin, Eigenvalue inequalities for convex and log-convex functions, Linear Algebra Appl. 424 (2007) 25-35.
2. R. Bhatia, Matrix Analysis, Springer Verlag, New York, 1997.
3. R. Bhatia, Positive Definite Matrices, Princeton University Press, 2007.
4. R. Bhatia, Notes on Functional Analysis, Hindustan Book Agency, New Delhi, 2009.
5. R. Bhatia, F. Kittaneh, Notes on matrix arithmetic-geometric mean inequalities, Linear Algebra Appl. 308 (2000) 203-211.
6. R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, 1991.
7. T. Kosem, Matrix versions of Young's inequality, Math. Ineq. Appl. 12 (2009) 239-254.
8. F. Kubo, T. Ando, Means of positive linear operators, Math. Ann. 246 (1980) 205-224.