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

Separated spectra and operator inequalities

Sayfa
982–990
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

  1. T. Ando and F. Hiai, Log-majorization and complementary Golden–Thompson type inequalities, Linear Alg. Appl. 197/198, 113–131, 1994
  2. T. Ando and F. Hiai, Operator log-convex functions and operator means, Math. Ann. 350 (3), 611–630, 2011
  3. T. Ando and X. Zhan, Norm inequalities related to operator monotone functions, Math. Ann. 315, 771–780, 1999
  4. R. Bhatia, Matrix analysis, Springer-Verlag, New York, 1997
  5. J.C. Bourin and M. Uchiyama, A matrix subadditivity inequality for $f (A+B)$ and $f (A)+ f (B)$, Linear Algebra Appl. 423, 512–518, 2007
  6. T. Furuta, J. Micic Hot, J. Pecaric and Y. Seo, Mond-Pecaric Method in Operator Inequalities, Monographs in Inequalities 1, Element, Zagreb, 2005
  7. F. Kubo and T. Ando, Means of positive linear operators, Math. Ann. 246, 205-224, 1980
  8. M. Lin, On an operator Kantorovich inequality for positive linear maps, J. Math. Anal. Appl. 402, 127–132, 2013
  9. J. Mićić, Z. Pavić and J. Pečarić, Jensen’s inequality for operators without operator convexity, Linear Algebra Appl. 434, 1228–1237, 2011
  10. H.R. Moradi, Z. Heydarbeygi and M. Sababheh, Subadditive inequalities for operators, Math. Ineq. Appl. 23 (1), 317–327, 2020
  11. R. Nakamoto and M. Nakamura, Operator mean and Kantorovich inequality, Math. Japon. 44 (3), 495–498, 1996
  12. M. Uchiyama, Operator monotone functions, positive definite kernels and majorization, Proc. Amer. Math. Soc. 138 (11), 3985–3996, 2010.