\(M\)-Fuzzy hyponormal operators
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DOI:
https://doi.org/10.26637/MJM0803/0014Abstract
In this paper, We introduce the definition of M-fuzzy hyponormal operator and also explored about some important properties of M-Fuzzy hyponormal operator from Fuzzy hyponormal operators in fuzzy Hilbert space. For a fuzzy continuous linear operator $\mathcal{T}$ on a Fuzzy Hilbert space $\mathcal{H}$ there exists a real number $\mathrm{M} \ni$ if $\left\|(\mathcal{T}-z I)^* u\right\| \leq \mathrm{M}\|(\mathcal{T}-z I) u\|$ for all $u \in \mathcal{H}$ and for all $z \in \mathrm{C}$ (field of complex numbers). We have given some definitions which are related to M-fuzzy hyponormal operator in fuzzy Hilbert space.
Keywords:
Adjoint fuzzy operator, Fuzzy Hilbert space(FH-space), Fuzzy Hyponormal operator, Fuzzy Normal operator, M-Fuzzy Hyponormal operator (MFHO), Self-Adjoint fuzzy operatorMathematics Subject Classification:
Mathematics- Pages: 815-821
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
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