Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Positive Definiteness of Functions with Applications to Operator Norm Inequalities
| eBook ISBN: | 978-1-4704-0614-1 |
| Product Code: | MEMO/212/997.E |
| List Price: | $70.00 |
| MAA Member Price: | $63.00 |
| AMS Member Price: | $42.00 |
Click above image for expanded view
Positive Definiteness of Functions with Applications to Operator Norm Inequalities
| eBook ISBN: | 978-1-4704-0614-1 |
| Product Code: | MEMO/212/997.E |
| List Price: | $70.00 |
| MAA Member Price: | $63.00 |
| AMS Member Price: | $42.00 |
-
Book DetailsMemoirs of the American Mathematical SocietyVolume: 212; 2011; 80 ppMSC: Primary 47; Secondary 15
Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.
-
Table of Contents
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Fourier transforms and positive definiteness
-
4. A certain Heinz-type inequality and related commutator estimates
-
5. Norm comparison for various operator means
-
6. Norm inequalities for $H^{\frac {1}{2}+\beta }XK^{\frac {1}{2}-\beta }+ H^{\frac {1}{2}-\beta }XK^{\frac {1}{2}+\beta }\pm H^{1/2}XK^{1/2}$
-
7. Norm comparison of Heron-type means and related topics
-
8. Operator Lehmer means and their properties
-
A. A direct proof for Proposition 7.3
-
B. Proof for Theorem 7.10
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 212; 2011; 80 pp
MSC: Primary 47; Secondary 15
Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Fourier transforms and positive definiteness
-
4. A certain Heinz-type inequality and related commutator estimates
-
5. Norm comparison for various operator means
-
6. Norm inequalities for $H^{\frac {1}{2}+\beta }XK^{\frac {1}{2}-\beta }+ H^{\frac {1}{2}-\beta }XK^{\frac {1}{2}+\beta }\pm H^{1/2}XK^{1/2}$
-
7. Norm comparison of Heron-type means and related topics
-
8. Operator Lehmer means and their properties
-
A. A direct proof for Proposition 7.3
-
B. Proof for Theorem 7.10
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.