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Boundedness of linear order-homomorphisms in $L$-topological vector spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 12، شماره 3، شهریور 2015، صفحه 127-135 اصل مقاله (304.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2023 | ||
| نویسندگان | ||
Hua-Peng Zhang  1؛ Jin-Xuan Fang2
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| 1School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China | ||
| 2School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China | ||
| چکیده | ||
| A new definition of boundedness of linear order-homomorphisms (LOH) in $L$-topological vector spaces is proposed. The new definition is compared with the previous one given by Fang [The continuity of fuzzy linear order-homomorphism, J. Fuzzy Math. 5 (4) (1997) 829$-$838]. In addition, the relationship between boundedness and continuity of LOHs is discussed. Finally, a new uniform boundedness principle in $L$-topological vector spaces is established in the sense of a new definition of uniform boundedness for a family of LOHs. | ||
| کلیدواژه‌ها | ||
| $L$-topological vector space؛ Linear order-homomorphism؛ Bounde-\dness | ||
| مراجع | ||
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