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Some Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces
並列摘要
In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff-Clarke, Dragomir-Sándor and the author.
被引用紀錄
劉恩君（2013）。一些Hadamard不等式更細緻的結果〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2013.01208
曾泓予（2013）。準凸函數的Hermite-Hadamard's 不等式及其
在一些平均數的應用〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2013.01086
周義銘（2012）。在有界變分函數上有關Ostrowski型之不等式研究〔博士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2012.01253
蔡黃凱（2012）。準凸函數的 Hermite-Hadamerd 型不等式的研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2012.00577
黃榆萍（2007）。關於ČEBYŠEV型式不等式的研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2007.00834
延伸閱讀
- Rashid, M. H. (2023). Refinements of some numerical radius inequalities for Hilbert space operators. Tamkang Journal of Mathematics, 54(2), 155-173. https://doi.org/10.5556/j.tkjm.54.2023.4061
- Lan, N. T. (2009). On the Almost Periodic Solutions of Differential Equations on Hilbert Spaces. International Journal of Differential Equations, 2009(), 97-107. https://doi.org/10.1155/2009/575939
- Dragomir, S. S. (2009). On Some Inequalities in Normed Linear Spaces. Tamkang Journal of Mathematics, 40(3), 225-237. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200909-200911130023-200911130023-225-237
- Imnang, S. (2012). Hybrid Projection Algorithm for a New General System of Variational Inequalities in Hilbert Spaces. ISRN Applied Mathematics, (), 9-30. https://doi.org/10.5402/2012/482869
- PARK, J. Y., LEE, S. Y., & LEE, M. J. (1999). NONLINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS IN HILBERT SPACE. International Journal of Mathematics and Mathematical Sciences, 1999(), 847-854. https://doi.org/10.1155/S0161171299228475