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Fuzzy Hilbert adjoint operator and its properties

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In this paper, definition of fuzzy real Hilbert adjoint operator is given and some of its properties are studied. We also prove existence theorem for fuzzy real Hilbert adjoint operator.

Abstract

In this paper, definition of fuzzy real Hilbert adjoint operator is given and some of its properties are studied. We also prove existence theorem for fuzzy real Hilbert adjoint operator.

참고문헌 (16)

  1. C. Alsina, "On the denition of a probabilistic normed space", Aequationes Math., 46, pp.91~98 (1993)[DOI]
  2. T. Bag, "Fixed point theorems in Felbin's type fuzzy normed linear spaces", The Journal of Fuzzy Mathematics, 16(1), pp.243~260 (2008)
  3. T. Bag, "Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces", Fuzzy Sets and Systems, 159, pp.685~707 (2008)[DOI]
  4. R. Biswas, "Fuzzy inner product spaces and fuzzy norm functions", Inform. Sci., 53, pp.185~190 (1991)[DOI]
  5. A. M. El-Abyad, "Fuzzy inner product spaces", Fuzzy Sets and Systems, 44, pp.309~326 (1991)[DOI]
  6. C. Felbin, "Finite dimensional fuzzy normed linear spaces", Fuzzy Sets and Systems, 48, pp.239~248 (1992)[DOI]
  7. S. Ghosal, "Fuzzy sesquilinear form and its properties", Palestine Journal of Math- ematics
  8. M. Goudarzi, "On the denition of fuzzy Hilbert spaces and its application", The Journal of Nonlinear Science and Applications, 2(1), pp.46~59 (2009)[DOI]
  9. A. Hasankhani, "Some properties of fuzzy Hilbert spaces and norm of operators", Iranian Journal of Fuzzy Systems, 7(3), pp.129~157 (2010)
  10. O. Kaleva, "On fuzzy metric spaces", Fuzzy Sets and Systems, 12, pp.215~229 (1984)[DOI]
  11. J. K. Kohli, "On fuzzy inner product spaces and fuzzy co-inner product spaces", Fuzzy Sets and Systems, 53, pp.227~232 (1993)[DOI]
  12. Pinaki Majumdar, "On fuzzy inner product spaces", The Journal of Fuzzy Mathematics, 16(2), pp.377~392 (2008)
  13. Mizumoto, "Advances in Fuzzy Set Theory and Applications", pp.153~164 (1979), North-Holland
  14. S. Mukherjee, "Fuzzy real inner product space and its properties", Ann. Fuzzy Math. Inform., 6(2), pp.377~389 (2013)
  15. S. Mukherjee, "Some properties of Fuzzy Hilbert Spaces and Fixed Point Theorems in Such Spaces", The Journal of Fuzzy Mathematics, 20(3), pp.539~550 (2012)
  16. J. Xiao, "On linearly topological structure and property of fuzzy normed linear space", FSS, 125, pp.153~161 (2002)[DOI]

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