دانلود کتاب Lectures on Numerical Radius Inequalities

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Preface
Contents
1 Preliminaries
1.1 General Notation and Terminology
1.2 Elementary Functional Analysis
1.3 Functional Calculus for Selfadjoint Operators
1.4 Spectral Representation of Selfadjoint Operators
1.5 Block Matrices of Operators
2 Fundamental Numerical Radius Inequalities
2.1 Basic Properties of Numerical Range
2.2 Inequalities Concerning One Operator
2.3 Inequalities Related to Davis–Wielandt Radius
2.4 Inequalities Involving More Than One Operator
2.5 More Applications of Cartesian Decomposition
3 Bounds of the Numerical Radius Using Buzano\'s Inequality
3.1 Upper Bounds of the Numerical Radius
3.2 Generalized Buzano\'s Inequality
3.3 Vector Inequalities for Projections
4 p-Numerical Radius Inequalities of an n-Tuple of Operators
4.1 Basic Properties of p-Numerical Radius
4.2 Inequalities of wp for Pairs of Operators
4.3 Inequalities of wp for n-Tuples of Operators
4.4 Hypo-p-Numerical Radius
4.5 Reverse Inequalities for Hypo-Euclidean Numerical Radius
5 Numerical Radius Inequalities of Product of Operators
5.1 Inequalities Involving Adjoint Operators
5.2 Inequalities for Product of Two or More Operators
6 Numerical Radius of Operator Matrices and Applications
6.1 Basic Inequalities of 2times2 Operator Matrices
6.2 Inequalities of 2 times2 Off-Diagonal Operator Matrices
6.3 Bounds for the Zeros of a Polynomial
6.4 Bounded Region Containing All the Zeros of a Polynomial
7 Operator Space Numerical Radius of 2times2 Block Matrices
7.1 Complete Numerical Radius Norm
7.2 Inequalities for Operator Space Numerical Radius
8 A-Numerical Radius Inequalities in Semi-Hilbertian Spaces
8.1 Basic Definitions and Notations
8.2 Fundamental Properties
8.3 Inequalities Concerning One Operator
8.4 Inequalities Concerning Two Operators
8.5 Inequalities Concerning Block Matrices
9 Research Problems
Appendix Bibliography