Boundedness of linear order-homomorphisms in $L$-topological vector spaces
نویسندگان
1 School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
2 School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
doi
10.22111/ijfs.2015.2023چکیده
A new definition of boundedness of linear order-homomorphisms (LOH)in $L$-topological vector spaces is proposed. The new definition iscompared with the previous one given by Fang [The continuity offuzzy linear order-homomorphism, J. Fuzzy Math. 5 (4) (1997)829$-$838]. In addition, the relationship between boundedness andcontinuity of LOHs is discussed. Finally, a new uniform boundednessprinciple in $L$-topological vector spaces is established in thesense of a new definition of uniform boundedness for a family ofLOHs.
