Extensions of Euclidean operator radius inequalities

• Mohammad Sal Moslehian ^[1] ; Mostafa Sattari ^[1] ; Khalid Shebrawi ^[2]
  1. [1] University of Mashhad-IRAN
  2. [2] University Salt-JORDAN
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 120, Nº 1, 2017, págs. 129-144
• Idioma: inglés
• DOI: 10.7146/math.scand.a-25509
• Texto completo no disponible (Saber más ...)
• Resumen

  • To extend the Euclidean operator radius, we define wp for an n-tuple of operators (T1,…,Tn) in B(H) by wp(T1,…,Tn):=sup∥x∥=1(∑ni=1|⟨Tix,x⟩|p)1/p for p≥1. We generalize some inequalities including the Euclidean operator radius of two operators to those involving wp. Further we obtain some lower and upper bounds for wp. Our main result states that if f and g are non-negative continuous functions on [0,∞) satisfying f(t)g(t)=t for all t∈[0,∞), then wrpp(A∗1T1B1,…,A∗nTnBn)≤nr−12∥∥∑i=1n[B∗if2(|Ti|)Bi]rp+[A∗ig2(|T∗i|)Ai]rp∥∥, for all p≥1, r≥1 and operators in B(H).