2006/01/11 by Jaedeok Kim, Kim, Jaedeok, Robert L. Moore +1
Computer Science · #47L35 #Advanced Algebra and Logic #Constraint Satisfaction and Optimization #FOS: Mathematics #Logic, Reasoning, and Knowledge #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.math/0601254
openalex publication_date 2006/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a description of a weakly continuous rank preserving map on a reflexive algebra on complex Hilbert space with commutative completely distributive subspace lattice. We show that the implementation of a rank preserving map can be described by the combination of two different types of maps. We also show that a rank preserving map can be implemented by only one type if the corresponding lattice is irreducible. We present some examples of both types of rank preserving map.