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Some inequalities for positive linear maps

✍ Scribed by Rajendra Bhatia; Rajesh Sharma

Book ID
113771895
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
272 KB
Volume
436
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

A GrΓΌss inequality for n-positive linear
A GrΓΌss inequality for n-positive linear maps
✍ Mohammad Sal Moslehian; Rajna RajiΔ‡ πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 147 KB

Let A be a unital C \* -algebra and let Ξ¦ : A β†’ B(H) be a unital npositive linear map between C \* -algebras for some n 3. We show that ## Ξ¦(AB) -Ξ¦(A)Ξ¦(B) Ξ”(A, || β€’ ||) Ξ”(B, || β€’ ||) for all operators A, B ∈ A, where Ξ”(C, β€’ ) denotes the operator norm distance of C from the scalar operators.