Direct limit of matrix order unit spaces

J. V. Ramani; Anil K. Karn; Sunil Yadav

Colloquium Mathematicae (2008)

  • Volume: 113, Issue: 2, page 175-184
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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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 -

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