Volume 2,  Issue 3, 2001

Article 34

MATRIX AND OPERATOR INEQUALITIES

FOZI  M. DANNAN

DEPARTMENT OF MATHEMATICS
FACULTY OF SCIENCE
QATAR UNIVERSITY 
DOHA - QATAR
E-Mail: fmdannan@qu.edu.qa

Received 3 April, 2001; accepted 16 May, 2001.
Communicated by: D. Bainov


ABSTRACT.   In this paper we prove certain inequalities involving matrices and operators on Hilbert spaces. In particular, inequalities involving the trace and the determinant of the product of certain positive definite matrices.
Key words:
Inequality, Matrix, Operator.

2000 Mathematics Subject Classification:
15A45, 47A50.


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Lp-Improving Properties for Measures on R4 Supported on Homogeneous Surfaces in Some Non Elliptic Cases
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