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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 3

On $K$-pseudoframes for subspaces

Hamide Azarmi(Ferdowsi University of Mashhad)0000-0003-3146-8928
Mohammad Janfada(Ferdowsi University of Mashhad)0000-0002-3016-4028
Rajab Ali Kamyabi-go(Ferdowsi University of Mashhad)0000-0003-0137-3653
Sayfa
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Yayın Tarihi
2020-06-02
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the concept of pseudoatomic system is introduced and its relations with $K$-pseudoframe are studied.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the concept of $K$-pseudoframes for subspaces of Hilbert spaces, as a generalization of both $K$-frames and pseudoframes, is introduced and some of their properties and their characterizations are investigated.
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Temel Bulgular & Veri:Next, duals of $K$-pseudoframes are discussed.
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Sonuç & Katkı:Finally, the concept of pseudoatomic system is introduced and its relations with $K$-pseudoframe are studied.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:K-pseudoframe · K-pseudoatomic system · K-exact pseudoframe

Abstract

In this paper, the concept of $K$-pseudoframes for subspaces of Hilbert spaces, as a generalization of both $K$-frames and pseudoframes, is introduced and some of their properties and their characterizations are investigated. Next, duals of $K$-pseudoframes are discussed. Finally, the concept of pseudoatomic system is introduced and its relations with $K$-pseudoframe are studied.

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Bu Makaleye Atıf Yap

Azarmi, H., Janfada, M., Kamyabi-go, R. A. (2020). On $K$-pseudoframes for subspaces. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 3. https://doi.org/10.15672/hujms.647209

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Kaynakça (13)

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