Riesz completions of some spaces of regular operators

2024/01/08 by A. W. Wickstead, Wickstead, Anthony W.
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2401.03973

Abstract

We describe the Riesz completion (in the sense of van Haandel) of some spaces of regular operators as explicitly identified subspaces of the regular operators into larger range spaces

Related

• Order continuous operators on pre-Riesz spaces and embeddings
• Pervasiveness of L^r(E,F) in L^r(E,F^δ)
• On the relationship between three classes of operators on Riesz spaces
• Representation of strongly truncated Riesz spaces
• Some remarks on orthogonally additive operators on Riesz spaces