On Disjointness, Bands and Projections in Partially Ordered Vector Spaces
From MaRDI portal
Publication:5152980
DOI10.1007/978-3-030-70974-7_7OpenAlexW3003779584MaRDI QIDQ5152980
Publication date: 28 September 2021
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.10941
Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bands in partially ordered vector spaces with order unit
- Tensor products of Archimedean partially ordered vector spaces
- Riesz completions, functional representations, and anti-lattices
- Projection bands and atoms in pervasive pre-Riesz spaces
- Disjointness in partially ordered vector spaces
- Ideals and bands in pre-Riesz spaces
- Equivalent complete norms and positivity
- Banach lattices
- Self-dual cones in Hilbert space
- A short note on band projections in partially ordered vector spaces
- Disjointness preserving \(\mathrm{C}_0\)-semigroups and local operators on ordered Banach spaces
- Pre-Riesz spaces
- Order closed ideals in pre-Riesz spaces and their relationship to bands
- Disjointness preserving operators on normed pre-Riesz spaces: extensions and inverses
- Directed ideals in partially ordered vector spaces
- Order continuous operators on pre-Riesz spaces and embeddings
- Pervasive and weakly pervasive pre-Riesz spaces
- Long-term analysis of positive operator semigroups via asymptotic domination
- The decomposition of cones in modules over ordered rings
- Bands in pervasive pre-Riesz spaces
- Vector lattice covers of ideals and bands in Pre-Riesz spaces
- Positive bases in ordered subspaces with the Riesz decomposition property
- Inverses of disjointness preserving operators in finite dimensional pre-Riesz spaces
- Order Properties of Bounded Self-Adjoint Operators