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Journals / 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
Pages
—
Publication Date
2020-06-02
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AI Summary & Key Takeaways

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

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data:Next, duals of $K$-pseudoframes are discussed.
💡
Conclusion & Impact:Finally, the concept of pseudoatomic system is introduced and its relations with $K$-pseudoframe are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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