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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

On $K$-pseudoframes for subspaces

Hamide AZARMİ
Mohammad JANFADA
Rajab Ali KAMYABİ-GO
Pages
1057–1066
Publication Date
2020-06-02
DOI
—
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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.
📊
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

AZARMİ, H., JANFADA, M., KAMYABİ-GO, R. A. (2020). On $K$-pseudoframes for subspaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1057–1066. https://ajindex.com/articles/669287

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