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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.
J. V. Ramani, Anil K. Karn, and Sunil Yadav. "Direct limit of matrix order unit spaces." Colloquium Mathematicae 113.2 (2008): 175-184. <http://eudml.org/doc/283811>.
@article{J2008, abstract = {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.}, author = {J. V. Ramani, Anil K. Karn, Sunil Yadav}, journal = {Colloquium Mathematicae}, keywords = {approximate order unit; matricially Riesz normed spaces; positively bounded; -Riesz norm}, language = {eng}, number = {2}, pages = {175-184}, title = {Direct limit of matrix order unit spaces}, url = {http://eudml.org/doc/283811}, volume = {113}, year = {2008}, }
TY - JOUR AU - J. V. Ramani AU - Anil K. Karn AU - Sunil Yadav TI - Direct limit of matrix order unit spaces JO - Colloquium Mathematicae PY - 2008 VL - 113 IS - 2 SP - 175 EP - 184 AB - 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. LA - eng KW - approximate order unit; matricially Riesz normed spaces; positively bounded; -Riesz norm UR - http://eudml.org/doc/283811 ER -