On sectorial matrices

The Bergman Projection on Sectorial Domains

Quasi-sectorial contractions

We revise the notion of the quasi-sectorial contractions. Our main theorem establishes a relation between semigroups of quasi-sectorial contractions and a class of m−sectorial generators. We discuss a relevance of this kind of contractions to the theory of operator-norm approximations of strongly continuous semigroups.

On the sectorial property of the Caputo derivative operator

In this note, we establish the sectorial property of the Caputo fractional derivative operator of order α ∈ (1, 2) with a zero Dirichlet boundary condition.

Sectorial Operators and Interpolation Theory

We present a survey of recent applications of interpolation ideas in the study of sectorial operators.

On a Multistep Method Approximating a Linear Sectorial Evolution Equation