Let A be a unital C \* -algebra and let Φ : A → B(H) be a unital npositive linear map between C \* -algebras for some n 3. We show that ## Φ(AB) -Φ(A)Φ(B) Δ(A, || • ||) Δ(B, || • ||) for all operators A, B ∈ A, where Δ(C, • ) denotes the operator norm distance of C from the scalar operators.
✦ LIBER ✦
Grüss inequality for completely bounded maps
✍ Scribed by Ivan Perić; Rajna Rajić
- Book ID
- 104036074
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 191 KB
- Volume
- 390
- Category
- Article
- ISSN
- 0024-3795
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