Some properties of fuzzy Hilbert spaces. (English) Zbl 1369.46068
The authors study the representation of functionals on fuzzy Hilbert spaces. Thus, they define the Hilbert-adjoint operator of a bounded linear operator on a fuzzy Hilbert space and give some of its fundamental properties. I think that the main results of this paper will be useful for researchers in fuzzy functional analysis.
Reviewer: Cihangir Alaca (Manisa)
MSC:
| 46S40 | Fuzzy functional analysis |
| 47S40 | Fuzzy operator theory |
| 46C05 | Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) |
Keywords:
fuzzy normed linear spaces; fuzzy Hilbert spaces; Felbin-type fuzzy norm; fuzzy bounded linear operatorReferences:
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