# 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

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topRamani, 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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- Effros E.G., Ruan Z.J., On matricially normed spaces, Pacific J. Math. 132 2 (1988), 243-264. (1988) Zbl0686.46012MR0934168
- Karn A.K., Approximate matrix order unit spaces, Ph.D. Thesis, University of Delhi, Delhi, 1997. Zbl0902.46030
- Karn A.K., Vasudevan R., Approximate matrix order unit spaces, Yokohama Math. J. 44 (1997), 73-91. (1997) Zbl0902.46030MR1453353
- Karn A.K., Vasudevan R., Characterization of matricially Riesz normed spaces, Yokohama Math. J. 47 (2000), 143-153. (2000) Zbl0965.46002MR1763778
- Ramani J.V., Karn A.K., Yadav S., Direct limit of matrix ordered spaces, Glasnik Matematicki 40 2 (2005), 303-312. (2005) Zbl1098.46044MR2189476
- Ruan Z.J., Subspaces of ${C}^{*}$-algebras, J. Funct. Anal. 76 (1988), 217-230. (1988) Zbl0646.46055MR0923053

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