KaydedilenlerDerginizi ekleyin

Dergiler / 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
Sayfa
1–7
Yayın Tarihi
2022-03-17
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (19)

  1. P. R. Halmos, A Hilbert Space Problem Book, Springer-Verlag, New York, 1982
  2. K. E. Gustafson, D. K. M. Rao, Numerical Range: The field of values of linear operators and matrices, Springer-Verlag, New York, 1982
  3. F. Kittaneh, Spectral radius inequalities for Hilbert space operators, Proc. Am. Math. Soc., 134(2) (2006), 385-390
  4. A. Abu-Omar, F. Kittaneh, Estimates for the numerical radius and spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials, Ann. Func. Anal., 5(1) (2014), 56-62
  5. A. Abu-Omar, F. Kittaneh, Upper and lower bounds for the numerical radius with an application to involution operators, Rocky Mt. J. Math., 45(4) (2015), 1055-1065
  6. A. Abu-Omar, F. Kittaneh, Notes on some spectral radius and numerical radius inequalities, Studia Math., 227(2) (2015), 97-109
  7. H. Guelfen, F. Kittaneh, On numerical radius inequalities for operator matrices, Numer. Funct. Anal. Optim., 40(11) (2019), 1231-1241
  8. Y. Bedrani, F. Kittaneh, M. Sabbaheh, Numerical radii of accretive matrices, Linear Multilinear Algebra, 69(5) (2021), 957-970
  9. W. Bani-Domi, F. Kittaneh, Norm and numerical radius inequalities for Hilbert space operators, Linear Multilinear Algebra, 69(5) (2021), 934-945
  10. M. Zima, A theorem on the spectral-radius of the sum of 2 operators and its application, Bull. Aust. Math. Soc., 48(3) (1993), 427-434
  11. M. Zima, On the local spectral radius of positive operators, Proc. Am. Math. Soc., 131(3) (2003), 845-850
  12. M. Zima, On the local spectral radius in partially ordered Banach spaces, Czechoslov. Math. J., 49(4) (1999), 835-841
  13. M. Zima, Spectral radius inequalities for positive commutators, Czechoslov. Math. J., 64(1) (2014), 1-10
  14. M. Gurdal, M. T. Garayev, S. Saltan, Some concrete operators and their properties, Turk. J. Math., 39(6) (2015), 970-989
  15. M. T. Karaev, N. S. Iskenderov, Numerical range and numerical radius for some operators, Linear Algebra Appl., 432(12) (2010), 3149-3158
  16. M. Demuth, Mathematical aspect of physics with non-selfadjoint operators, List of open problem (American Institute of Mathematics Workshop, 8-12 June), 2015
  17. J. Lindenstrauss, L. Tzafriri, Classical Banach Spaces, First ed., Springer-Verlag, 1977
  18. M. A. Naimark, S. V. Fomin, Continuous direct sums of Hilbert spaces and some of their applications, Uspehi. Mat. Nauk., 10 (1955), 111-142
  19. E. O. Çevik, Z. I. Ismailov, Spectrum of the direct sum of operators, El