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Extensions of Kadison’s inequality on positive linear maps

✍ Scribed by Jiangtao Yuan; Guoxing Ji

Book ID
113772068
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
192 KB
Volume
436
Category
Article
ISSN
0024-3795

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A Grüss inequality for n-positive linear
A Grüss inequality for n-positive linear maps
✍ Mohammad Sal Moslehian; Rajna Rajić 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 147 KB

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.