The notion of ℱ-approximate order unit norm for ordered 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-1, author = {J. V. Ramani and Anil K. Karn and Sunil Yadav}, title = {Direct limit of matrix order unit spaces}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {175-184}, zbl = {1156.46308}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-1} }
J. V. Ramani; Anil K. Karn; Sunil Yadav. Direct limit of matrix order unit spaces. Colloquium Mathematicae, Tome 111 (2008) pp. 175-184. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-1/