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Dergiler / 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
Sayfa
616–624
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri:Then the concepts of fuzzy linear operator and fuzzy isomentric are defined.
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Sonuç & Katkı:It is shown that each real fuzzy Hilbert space is isometricaly isomorphic to the dual of the fuzzy Hilbert space.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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