Polynomial inequalities for non-commuting operators

Ela Polynomial Inequalities for Non-commuting Operators

We prove an inequality for polynomials applied in a symmetric way to non-commuting operators.

Polynomial inequalities for non-commuting operators

Functional Calculus for Non-Commuting Operators

On Bernstein Type Inequalities for Complex Polynomial

In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.

H∞-calculus for the Sum of Non-commuting Operators

A recent result of Kalton and Weis is extended to the case of noncommuting operators, employing the commutator condition of Labbas and Terreni, or of Da Prato and Grisvard. Under appropriate assumptions it is shown that the sum of two non-commuting operators admits an H∞-calculus. The main results are then applied to a parabolic problem on a wedge domain.