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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 3

ON THE STUDY OF FUZZY HILBERT SPACES BY FUZZY ISOMETRIC ISOMORPHISMS

B. DARABY
Ali ROSTAMI
Asghar RAHIMI
Pages
616–624
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is shown that each real fuzzy Hilbert space is isometricaly isomorphic to the dual of the fuzzy Hilbert space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, by defining a fuzzy inner product on the dual of real fuzzy Hilbert space, we show that the dual of fuzzy Hilbert space is also fuzzy Hilbert space.
📊
Key Findings & Data:Then the concepts of fuzzy linear operator and fuzzy isomentric are defined.
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Conclusion & Impact:It is shown that each real fuzzy Hilbert space is isometricaly isomorphic to the dual of the fuzzy Hilbert space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this paper, by defining a fuzzy inner product on the dual of real fuzzy Hilbert space, we show that the dual of fuzzy Hilbert space is also fuzzy Hilbert space. Then the concepts of fuzzy linear operator and fuzzy isomentric are defined. It is shown that each real fuzzy Hilbert space is isometricaly isomorphic to the dual of the fuzzy Hilbert space.

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Cite This Article

DARABY, B., ROSTAMI, A., RAHIMI, A. (2020). ON THE STUDY OF FUZZY HILBERT SPACES BY FUZZY ISOMETRIC ISOMORPHISMS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 3, 616–624. https://ajindex.com/articles/327349

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