An article by Professor of Mathematics Robert Kantrowitz '82 was recently published in the Mathematical Proceedings of the Royal Irish Academy (Volume 108, Issue 2, 2008). In the paper, "Approximation by Weighted Composition Operators on C(X)," Kantrowitz and co-author Michael M. Neumann of Mississippi State University investigate bounded linear operators between Banach algebras of continuous functions.
Distinguished among these are the so-called disjointness preserving operators, which, in this setting, are known to be weighted composition operators. The article presents results about the extent to which arbitrary operators are approximable by operators in this distinguished class.
Distinguished among these are the so-called disjointness preserving operators, which, in this setting, are known to be weighted composition operators. The article presents results about the extent to which arbitrary operators are approximable by operators in this distinguished class.
