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
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
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)
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)