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Some generalizations of inequalities for sector matrices
1Department of Mathematics, Soochow University, Suzhou, P.R. China.
Journal of Inequalities and Applications
|August 24, 2018
Summary
This study generalizes Schatten p-norm inequalities for accretive-dissipative matrices and introduces new inequalities for sector matrices, advancing matrix analysis research.
Area of Science:
- Linear Algebra
- Matrix Theory
- Functional Analysis
Background:
- Accretive-dissipative matrices are essential in various mathematical fields.
- Schatten p-norm inequalities provide crucial bounds for matrix properties.
- Generalizing existing inequalities enhances theoretical understanding.
Purpose of the Study:
- To extend Kittaneh and Sakkijha's Schatten p-norm inequalities.
- To derive novel inequalities specifically for sector matrices.
- To contribute to the theory of matrix norms and inequalities.
Main Methods:
- Generalization of existing theorems on accretive-dissipative matrices.
- Application of matrix norm properties.
- Development of new inequalities for specific matrix classes.
Main Results:
- Established generalized Schatten p-norm inequalities for accretive-dissipative matrices.
- Presented new inequalities pertaining to sector matrices.
- Expanded the scope of known matrix inequalities.
Conclusions:
- The findings offer new tools for analyzing matrix properties.
- The generalized inequalities are applicable to a broader range of matrices.
- This work deepens the understanding of matrix norms and their applications.
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