2 papers
math.FA2021
Vector lattice approach to the Riesz and Stone Representation theorems
Eugene Bilokopytov
We present vector-lattice-theoretic proofs of Riesz Representation Theorem and Stone Representation Theorem.
math.FA2021
Disjointly non-singular operators on order continuous Banach lattices complement the unbounded norm topology
Eugene Bilokopytov
In this article we investigate the disjointly non-singular (DNS) operators. Following [8] we say that an operator from a Banach lattice into a Banach space is DNS, if n…