18 citations · 103 across the 34 of their papers we have counts for
4 papers · 1 filter
Locally Compact Stone Duality
Tristan Bice, Charles Starling
We prove a number of dualities between posets and (pseudo)bases of open sets in locally compact Hausdorff spaces. In particular, we show that (1) Relatively compact basic sublattic…
Semicontinuity in Ordered Banach Spaces
Tristan Bice
We extend the C*-algebra semicontinuity theory of Akemann, Brown and Pedersen to (pre)ordered Banach spaces.
*-Ring Orderings
Tristan Bice
We examine a number of *-ring orderings, generalizing classical properties of *-positive elements to *-accretives. We also examine *-rings satisfying versions of Blackadar's proper…
A note on the Akemann-Doner and Farah-Wofsey constructions
Tristan Bice, Piotr Koszmider
We remove the assumption of the continuum hypothesis from the Akemann-Doner construction of a non-separable -algebra with only separable commutative -subalgebras. We…