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  • 标题:Hypo- q -norms on cartesian products of algebras of bounded linear operators on Hilbert spaces
  • 本地全文:下载
  • 作者:S.S. DRAGOMIR
  • 期刊名称:Extracta Mathematicae
  • 印刷版ISSN:0213-8743
  • 出版年度:2019
  • 卷号:34
  • 期号:2
  • 页码:201-235
  • DOI:10.17398/2605-5686.34.2.201
  • 出版社:Universidad de Extremadura
  • 摘要:In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of boundedlinear operators on Hilbert spaces. A representation of these norms in terms of inner products, theequivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via thescalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given. Several bounds for thenorms p, #p and the real norms r;p and r;p are provided as well.
  • 关键词:Hilbert spaces; bounded linear operators; operator norm and numerical radius; n-tuple;of operators; operator inequalities.
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