Direct limit of matricially Riesz normed spaces

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

Commentationes Mathematicae Universitatis Carolinae (2006)

  • Volume: 47, Issue: 1, page 175-187
  • ISSN: 0010-2628

Abstract

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In this paper, the ℱ -Riesz norm for ordered ℱ -bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, ℱ -Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.

How to cite

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Ramani, J. V., Karn, Anil Kumar, and Yadav, Sunil. "Direct limit of matricially Riesz normed spaces." Commentationes Mathematicae Universitatis Carolinae 47.1 (2006): 175-187. <http://eudml.org/doc/22866>.

@article{Ramani2006,
abstract = {In this paper, the $\mathcal \{F\}$-Riesz norm for ordered $\mathcal \{F\}$-bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, $\mathcal \{F\}$-Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.},
author = {Ramani, J. V., Karn, Anil Kumar, Yadav, Sunil},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Riesz norm; matricially Riesz normed space; positively bounded; absolutely $\mathcal \{F\}$-convex; $\mathcal \{F\}$-Riesz norm; Riesz norm; positively bounded; absolutely -convex; -Riesz norm},
language = {eng},
number = {1},
pages = {175-187},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Direct limit of matricially Riesz normed spaces},
url = {http://eudml.org/doc/22866},
volume = {47},
year = {2006},
}

TY - JOUR
AU - Ramani, J. V.
AU - Karn, Anil Kumar
AU - Yadav, Sunil
TI - Direct limit of matricially Riesz normed spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2006
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 47
IS - 1
SP - 175
EP - 187
AB - In this paper, the $\mathcal {F}$-Riesz norm for ordered $\mathcal {F}$-bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, $\mathcal {F}$-Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.
LA - eng
KW - Riesz norm; matricially Riesz normed space; positively bounded; absolutely $\mathcal {F}$-convex; $\mathcal {F}$-Riesz norm; Riesz norm; positively bounded; absolutely -convex; -Riesz norm
UR - http://eudml.org/doc/22866
ER -

References

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  1. Choi M.D., Effros E.G., Injectivity and operator spaces, J. Funct. Anal. 24 (1977), 156-209. (1977) Zbl0341.46049MR0430809
  2. Effros E.G., Ruan Z.J., On matricially normed spaces, Pacific J. Math. 132 2 (1988), 243-264. (1988) Zbl0686.46012MR0934168
  3. Karn A.K., Approximate matrix order unit spaces, Ph.D. Thesis, University of Delhi, Delhi, 1997. Zbl0902.46030
  4. Karn A.K., Vasudevan R., Approximate matrix order unit spaces, Yokohama Math. J. 44 (1997), 73-91. (1997) Zbl0902.46030MR1453353
  5. Karn A.K., Vasudevan R., Characterization of matricially Riesz normed spaces, Yokohama Math. J. 47 (2000), 143-153. (2000) Zbl0965.46002MR1763778
  6. Ramani J.V., Karn A.K., Yadav S., Direct limit of matrix ordered spaces, Glasnik Matematicki 40 2 (2005), 303-312. (2005) Zbl1098.46044MR2189476
  7. Ruan Z.J., Subspaces of C * -algebras, J. Funct. Anal. 76 (1988), 217-230. (1988) Zbl0646.46055MR0923053

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