Geometric operator inequalities
✍ Scribed by E. Andruchow; G. Corach; D. Stojanoff
- Book ID
- 104155951
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 557 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
The geometrical meaning of several well-known inequalities is discussed. They include the so-called Loewner, Heinz, Mclntosh, and Segal inequalities. It is shown that some of them can be deduced from the others, even for unitarily invariant forms. Some spectral properties of the elementary operators associated to the inequalities are studied.
📜 SIMILAR VOLUMES
In recent years certain arithmetic geometric mean and related inequalities for operators and unitarily invariant norms have been obtained by many authors based on majorization technique and so on. We first point out that they are direct consequences of integral expressions of relevant operators. Fur
## Abstract We characterize the pairs of weights (__u__, __v__) such that the one‐sided geometric maximal operator __G__^+^, defined for functions __f__ of one real variable by verifies the weak‐type inequality or the strong type inequality for 0 < __p__ < ∞. We also find two new conditions wh