Direct limit of matrix order unit spaces
Volume 113 / 2008
Colloquium Mathematicum 113 (2008), 175-184
MSC: Primary 46L07.
DOI: 10.4064/cm113-2-1
Abstract
The notion of $\cal F$-approximate order unit norm for ordered $\cal F$-bimodules is introduced and characterized in terms of order-theoretic and geometric concepts. Using this notion, we characterize the inductive limit of matrix order unit spaces.
