Semicontinuity in Ordered Banach Spaces
Tristan Bice
TL;DR
This paper extends the theory of semicontinuity from C*-algebras to the broader context of (pre)ordered Banach spaces, providing a generalized framework for understanding semicontinuity in these spaces.
Contribution
It introduces a novel extension of semicontinuity concepts from C*-algebras to (pre)ordered Banach spaces, broadening the scope of the theory.
Findings
Generalized semicontinuity framework for (pre)ordered Banach spaces
Extension of Akemann, Brown, and Pedersen's C*-algebra results
New insights into the structure of ordered Banach spaces
Abstract
We extend the C*-algebra semicontinuity theory of Akemann, Brown and Pedersen to (pre)ordered Banach spaces.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Operator Algebra Research · Functional Equations Stability Results