On some intuitionistic fuzzy hyponormal operators

A. Radharamani; S. Maheswari

doi:10.26637/MJM0803/0096

Abstract

Using the definition of Intuitionistic Fuzzy Hyponormal (IFHN) operator, i.e. $\mathbb{S} \in I F B(\mathbb{H})$ is an IFHN-operator if $\mathcal{P}_{\mu, v}\left(\mathbb{S}^* x, u\right) \leq \mathcal{P}_{\mu, v}(\mathbb{S} x, u), \forall x \in \mathbb{H}$ or equivalently $\mathbb{S}^* \mathbb{S}-\mathbb{S S}^* \geq 0$, we investigate certain properties of IFHN-operators on an IFH-space. The definition of intuitionistic fuzzy class $(N)$ of operators and some spectral properties are introduced. Also, a few theorems are discussed in detail.

Keywords:

Intuitionistic fuzzy Banach space, Intuitionistic Fuzzy Hilbert (IFH) space, Intuitionistic Fuzzy Normal Operator (IFN-operator), Intuitionistic Fuzzy Hyponormal Operator (IFHN-operator), Intuitionistic Fuzzy Class (N)

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

A. Radharamani Department of Mathematics, Chikkanna Government Arts College, Tirupur-641602, Tamil Nadu, India.
S. Maheswari Department of Mathematics, Tiruppur Kumaran College for Women, Tirupur-641687, Tamil Nadu, India.

Pages: 1278-1283
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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