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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 1

$q$-Difference Operator on $L_q^{2}( 0, + \infty )$

Meltem Sertbaş(KARADENIZ TECHNICAL UNIVERSITY)0000-0001-9606-951X
Coşkun Saral(KARADENIZ TECHNICAL UNIVERSITY)0000-0002-4274-189X
Pages
—
Publication Date
2023-03-30
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AI Summary & Key Takeaways

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

In addition, the sets of the minimal operator spectrum and the maximal operator spectrum are examined.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this research, the minimal and maximal operators defined by $q$- difference expression are given in the Hilbert space $L_q^{2}( 0, + \infty )$.
📊
Key Findings & Data:The existence problem of a $q^{-1}$-normal extension for the minimal operator is mentioned.
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Conclusion & Impact:In addition, the sets of the minimal operator spectrum and the maximal operator spectrum are examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$q$- difference operator · minimal operator · maximal operator

Abstract

In this research, the minimal and maximal operators defined by $q$- difference expression are given in the Hilbert space $L_q^{2}( 0, + \infty )$. The existence problem of a $q^{-1}$-normal extension for the minimal operator is mentioned. In addition, the sets of the minimal operator spectrum and the maximal operator spectrum are examined.

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Cite This Article

Sertbaş, M., Saral, C. (2023). $q$-Difference Operator on $L_q^{2}( 0, + \infty )$. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 1. https://doi.org/10.31801/cfsuasmas.1121701

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