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Norm inequalities for fractional powers of positive operators

✍ Scribed by Fuad Kittaneh


Publisher
Springer
Year
1993
Tongue
English
Weight
285 KB
Volume
27
Category
Article
ISSN
0377-9017

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πŸ“œ SIMILAR VOLUMES


Norm inequalities for sums and differenc
✍ Fuad Kittaneh πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 163 KB

It is shown that if A and B are positive operators on a separable complex Hilbert space, and if | β€’ | is any unitarily invariant norm, then

Fractional Powers of Operators of Regula
✍ Ralph deLaubenfels; Fuyuan Yao; Shengwang Wang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 246 KB

We construct fractional powers of operators whose C-regularized resolvent Ε½ . y 1 Ε½ . wyA C is O 1rw in an appropriate sector. This includes operators with polynomially bounded resolvent. Our construction has the properties one expects, analogous to the case when C s I; in particular, it satisfies m