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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 4

Separated spectra and operator inequalities

M. Sababheh
H. R. Moradi
Pages
982–990
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The applications include showing how monotone functions behave like operator monotone functions and how the Choi-Davis inequality becomes valid for convex functions under this separation condition.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main goal of this article is to show that many inequalities that are not valid in operator theory become true if we add a separation condition on the spectra.
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Key Findings & Data:The main goal of this article is to show that many inequalities that are not valid in operator theory become true if we add a separation condition on the spectra.
💡
Conclusion & Impact:The applications include showing how monotone functions behave like operator monotone functions and how the Choi-Davis inequality becomes valid for convex functions under this separation condition.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Operator order · separated spectra · convex functions

Abstract

The main goal of this article is to show that many inequalities that are not valid in operator theory become true if we add a separation condition on the spectra. The applications include showing how monotone functions behave like operator monotone functions and how the Choi-Davis inequality becomes valid for convex functions under this separation condition.

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Cite This Article

Sababheh, M., Moradi, H. R. (2022). Separated spectra and operator inequalities. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 982–990. https://ajindex.com/articles/529522

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