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Some Properties of Fuzzy Norm of Linear Operators | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 11، دوره 11، شماره 2، تیر 2014، صفحه 121-139 اصل مقاله (417.44 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1507 | ||
نویسندگان | ||
M. Saheli* 1؛ A. Hasankhani2؛ A. Nazari3 | ||
1Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran | ||
2Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran | ||
3Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
چکیده | ||
In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied. | ||
کلیدواژهها | ||
Fuzzy norm؛ Fuzzy normed linear space؛ Fuzzy bounded linear operator | ||
مراجع | ||
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