Preface......Page 7
Contents......Page 9
1 Introduction......Page 11
2.1 Multiplicative Inequalities......Page 14
2.2 Functional Inequalities......Page 18
2.3 Inequalities for the Euclidian Norm......Page 24
2.4 Inequalities for s-1-Norm and s-1-Numerical Radius......Page 28
2.5 Additive Inequalities......Page 33
2.6 Inequalities for Functions of Normal Operators......Page 39
2.7 Applications for the Euclidian Norm......Page 45
2.8 Applications for s-1-Norm and s-1-Numerical Radius......Page 46
2.9 Other Additive Inequalities......Page 49
2.10 Other Inequalities for Functions of Normal Operators......Page 58
2.11 Examples for the Euclidian Norm......Page 64
2.12 Examples for s-1-Norm and s-1-Numerical Radius......Page 67
3.1 Furuta's Inequality......Page 69
3.2 Functional Generalizations......Page 71
3.3 Some Examples......Page 76
3.4 More Functional Inequalities......Page 78
3.5 Applications for Some Elementary Functions......Page 85
3.6 General Vector Inequalities......Page 87
3.7 Norm and Numerical Radius Inequalities......Page 92
4 Trace Inequalities......Page 0
4.1 Trace of Operators......Page 95
4.2 Trace Inequalities via Kato's Result......Page 98
4.3 Some Functional Properties......Page 105
4.4 Inequalities for Sequences of Operators......Page 108
4.5 Inequalities for Power Series of Operators......Page 111
5.1 Some Facts on Bochner Integral......Page 117
5.2 Applications of Kato's Inequality......Page 119
5.3 Norm and Numerical Radius Inequalities......Page 123
5.4 Applications for the Operator Exponential......Page 130
BookmarkTitle:......Page 133