WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
Neutrosophic Adjoint, Self-Adjoint, and Unitary Operators on Neutrosophic Hilbert Spaces
Authors: ,
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Abstract: In this paper, we introduce new definitions of neutrosophic adjoint, self-adjoint, and unitary operators
acting on a neutrosophic Hilbert space. Fundamental properties are established, and several key results are
proved to characterize the behavior of these operators within the neutrosophic framework. It is further shown
that operators on neutrosophic Hilbert spaces generalize their classical counterparts, with classical operators
on Hilbert spaces recovered as a special case when the truth-membership degree is equal to 1 and both the
indeterminacy-membership and falsity-membership degrees are equal to 0. Moreover, the paper presents a
rigorous analytical study of the structural and functional properties of neutrosophic operators, thereby contributing
to the advancement of operator theory on neutrosophic Hilbert spaces.
Keywords:
neutrosophic sets, t-norm, t-conorm, neutrosophic representable t-norm, neutrosophic Hilbert space
(NHS), neurosophic adjoint operator, neurosophic self-adjoint operator, neutrosophic unitary operator
Pages: 431-445
DOI: 10.37394/23206.2026.25.42