Some Gap Relations Between Operator Norm with Spectral and Numerical Radii of Direct Sum Hilbert Space Operators

Otkun Çevik E., Ismailov Z.

Lobachevskii Journal of Mathematics, cilt.43, sa.2, ss.366-375, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1134/s1995080222050110
  • Dergi Adı: Lobachevskii Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.366-375
  • Anahtar Kelimeler: operator norm, spectral radius, numerical radius, BALANCING CHEMICAL-EQUATIONS, MATRIX-METHOD, INEQUALITIES, BOUNDS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

© 2022, Pleiades Publishing, Ltd.Abstract: In this study, the gaps between some spectral characteristic numbers (operator norm, upper and lower bounds of spectrum and numerical radius) of infinite direct sum of Hilbert space operators relatively connected with same spectral characteristic numbers of coordinate operators have been investigated. The motivation for this research is the problem pointed out by Prof. M. Demuth at the American Mathematical Institute workshop in 2015.