کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
391218 | 661360 | 2007 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuity of linear operators in L-fuzzifying topological vector spaces
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The main purpose of this paper is to introduce concepts of the mapping of L-bounded degree and the mapping of L-totally bounded degree in L-fuzzifying topological vector spaces, and study some of their basic properties. The relationship between the continuity and the boundedness of linear operators is discussed, specially, we prove that a linear operator is continuous iff it is bounded when its codomain space is CI. Finally closed graph theorem of a linear operator is proved in L-fuzzifying topological vector spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 9, 1 May 2007, Pages 937-948
Journal: Fuzzy Sets and Systems - Volume 158, Issue 9, 1 May 2007, Pages 937-948