A. R. Schep

activity

20082022

collaborators

4 papers

math.FA2022

The essential spectrum, norm, and spectral radius of abstract multiplication operators

Anton R. Schep

Let $E$ be a complex Banach lattice and $T$ is an operator in the centrum $Z(E)=\{T: |T|\le λI \mbox{ for some } λ\}$ of $E$ . Then the essential norm $∥ T ∥_{e}$ of $T$ equals the…

math.FA2016

Two-sided multiplication operators on the space of regular operators

Jin Xi Chen, Anton R. Schep

Let $W$ , $X$ , $Y$ and $Z$ be Dedekind complete Riesz spaces. For $A \in L^{r} (Y, Z)$ and $B \in L^{r} (W, X)$ let $M_{A, B}$ be the two-sided multiplication operator from $L^{r}(X, Y…

math.FA2016

Unbounded Disjointness Preserving Linear Functionals and Operators

Anton R Schep

Let $E$ and $F$ be Banach lattices. We show first that the disjointness preserving linear functionals separate the points of any infinite dimensional Banach lattice $E$ , which show…

math.FA2008

Products and Factors of Banach function spaces

Anton R. Schep

Given two Banach function spaces we study the pointwise product space E.F, especially for the case that the pointwise product of their unit balls is again convex. We then give cond…