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Grüss' inequality for positive linear functionals

✍ Scribed by D. Andrica; C. Badea


Book ID
105327273
Publisher
Springer Netherlands
Year
1988
Tongue
English
Weight
621 KB
Volume
19
Category
Article
ISSN
0031-5303

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📜 SIMILAR VOLUMES


A Grüss inequality for n-positive linear
✍ 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.

Grüss-Type Inequalities
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A connection between Grüss inequality and the error of best approximation is revealed. A Grüss-type inequality that unifies the continuous and discrete versions of the classical Grüss inequalities is established.  2002 Elsevier Science (USA)

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✍ B.G. Pachpatte 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 64 KB

We establish two new inequalities of Grüss type involving functions of two independent variables. The analysis used in the proofs is elementary and our results provide new estimates on inequalities of this type.  2002 Elsevier Science (USA)