boundedness of linear order-homomorphisms in $l$-topological vector spaces
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abstract
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.
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Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 12
issue 3 2015
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