Further extension of an order preserving operator inequality

An Operator Extension of Bohr's inequality

an operator extension of bohr's inequality

an operator extension of bohr's inequality

0

An Operator Extension of Bohr’s Inequality

T φ(At)dμ(t) for every linear functional φ in the norm dual A of A; cf. [3, Section 4.1]. Further, a field (φt)t∈T of positive linear mappings φ : A → B between C -algebras of operators is called continuous if the function t 7→ φt(A) is continuous for every A ∈ A. If the C-algebras include the identity operators, denoted by the same I, and the field t 7→ φt(I) is integrable with integral I, we ...

An Operator Extension of C̆ebys̆ev Inequality

Some operator inequalities for synchronous functions that are related to the c̆ebys̆ev inequality are given. Among other inequalities for synchronous functions it is shown that ‖φ (f (A) g (A))− φ (f (A))φ (g (A))‖ ≤ max {∥∥φ (f2 (A))− φ (f (A))∥∥ , ∥∥φ (g2 (A))− φ (g (A))∥∥} whereA is a self-adjoint and compact operator on B (H ), f, g ∈ C (sp (A)) continuous and non-negative functions and φ : B...