Hypo-q-norms on cartesian products of algebras of bounded linear operators on Hilbert space

• S.S. Dragomi ^{[1] [2]}
  1. [1] Victoria University

     Victoria University

     Australia

     
  2. [2] University of the Witwatersrand

     University of the Witwatersrand

     City of Johannesburg, Sudáfrica

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 34, Nº 2, 2019, págs. 201-235
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • t: In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear operators on Hilbert spaces. A representation of these norms in terms of inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given. Several bounds for the norms δp, ϑp and the real norms ηr,p and θr,p are provided as well