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Journals / Communications in Advanced Mathematical Sciences / 2022 / Cilt: 5 - Sayı: 1

Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices

Elif OTKUN ÇEVİK
Pages
1–7
Publication Date
2022-03-17
DOI
—
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AI Summary & Key Takeaways

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

In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.
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Key Findings & Data:In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.
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Conclusion & Impact:In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Antidiagonal operator matrix · Numerical radius · Operator norm

Abstract

In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied.

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Cite This Article

ÇEVİK, E. O. (2022). Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices. Communications in Advanced Mathematical Sciences, Cilt: 5 - Sayı: 1, 1–7. https://ajindex.com/articles/748221

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