Singular values, norms, and commutators

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Hirzallah, Omar, and Fuad Kittaneh. “Singular Values, Norms, and Commutators”. Linear Algebra and Its Applications, vol. 432, no. 5, 2010, pp. 1322-36, https://doi.org/10.1016/j.laa.2009.10.042.
Hirzallah, O., & Kittaneh, F. (2010). Singular values, norms, and commutators. Linear Algebra and Its Applications, 432(5), 1322-1336. https://doi.org/10.1016/j.laa.2009.10.042
Hirzallah, Omar, and Fuad Kittaneh. “Singular Values, Norms, and Commutators”. Linear Algebra and Its Applications 432, no. 5 (2010): 1322-36. https://doi.org/10.1016/j.laa.2009.10.042.
Hirzallah O, Kittaneh F. Singular values, norms, and commutators. Linear Algebra and its Applications. 2010;432(5):1322-36.
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Mathematics
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Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Commutator inequalities for Hilbert space operators Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
5 2009
Commutators and accretive operators Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
3 2009
Singular value inequalities for commutators of Hilbert space operators Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
6 2009
Norms of commutators of self-adjoint operators Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
16 2008
Norm inequalities for commutators of positive operators and applications Mathematische Zeitschrift
  • Science: Mathematics
21 2008
Refrences Analysis
The category Science: Mathematics 9 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Operators and Matrices. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Singular value and unitarily invariant norm inequalities for matrices Advances in Operator Theory
  • Science: Mathematics
2024
Norm inequalities for the spectral spread of Hermitian operators

Mathematische Nachrichten
  • Science: Mathematics
2023
Singular value inequalities for convex functions of positive semidefinite matrices Annals of Functional Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
5 2022
Unitarily invariant norm inequalities for positive semidefinite matrices Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
6 2022
Singular value and unitarily invariant norm inequalities for sums and products of operators Advances in Operator Theory
  • Science: Mathematics
1 2021
Citations Analysis
The category Science: Mathematics 9 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Norm inequalities for commutators of operators in noncommutative -spaces and was published in 2017. The most recent citation comes from a 2024 study titled Singular value and unitarily invariant norm inequalities for matrices. This article reached its peak citation in 2021, with 3 citations. It has been cited in 5 different journals. Among related journals, the Linear Algebra and its Applications cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year