Properties of the Adjoint Operator of a General Fuzzy Bounded Operator

Main Article Content

Manar Naji Gheeab
Jehad R. Kider

Abstract

Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties in order to define the adjoint operator of a general fuzzy bounded operator from a general fuzzy normed space V into another general fuzzy normed space U. After that basic properties of the adjoint operator were proved then the definition of fuzzy reflexive general fuzzy normed space was introduced in order to prove that every finite dimensional general fuzzy normed space is fuzzy reflexive.

Article Details

How to Cite
1.
Properties of the Adjoint Operator of a General Fuzzy Bounded Operator. Baghdad Sci.J [Internet]. 2021 Mar. 30 [cited 2024 Apr. 23];18(1(Suppl.):0790. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3091
Section
article

How to Cite

1.
Properties of the Adjoint Operator of a General Fuzzy Bounded Operator. Baghdad Sci.J [Internet]. 2021 Mar. 30 [cited 2024 Apr. 23];18(1(Suppl.):0790. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3091

References

Sadeqi I, Kia F. Fuzzy normed linear space and its topological structure. CHAOS SOLITON FRACT.. 2009;40 (5): 2576-2589.

Kider J. On fuzzy normed spaces. Eng. & Tech. Journal. 2011; 29(9):1790-1795.

Kider J. Completion of fuzzy normed spaces. Eng. & Tech. Journal. 2011; 29(10) :2004-2012.

Kider J. New fuzzy normed spaces. Baghdad Sci. Journal. 2012; 9: 559-564.

Nadaban S. Fuzzy continuous mapping in fuzzy normed linear spaces. Int. J. Comput. Commun. Control. 2015;10 (6): 834-842.

Kider JR, Kadhum NA. Properties of fuzzy norm of fuzzy bounded operators. IJS. 2017; 58(3A):1273-81.

Kadhum N. On fuzzy norm of a fuzzy bounded operator on fuzzy normed spaces, M.Sc. Thesis 2017, University of Technology, Iraq.

Ali A. Properties of Complete Fuzzy Normed Algebra, M.Sc. Thesis 2018, University of Technology, Iraq.

Kider J, Ali A. Properties of fuzzy absolute value on and properties finite dimensional fuzzy normed space. IJS. 2018; 59(2B): 909-916.

Kider JR, Gheeab MN. Properties of a General Fuzzy Normed Space. IJS. 2019 May 1;60(4):847-55.

Kider J, Gheeab M. Properties of The Space GFB(V, U). JQCM. 2019; 11(1):102-110

Kider J, Kadhum N. Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces. Baghdad Sci. Journal. 201916(1):104-110.

Similar Articles

You may also start an advanced similarity search for this article.