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Some norm inequalities for operators

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Abstract

For any unitarily invariant norm on Hilbert-space operators, we prove Hölder and Cauchy–Schwarz inequalities. As a consequence, several inequalities are lifted to the operator settings. Some more associated, norm inequalities for operators are obtained.

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Authors and Affiliations

  1. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, 148106, India

    Yogesh Kapil, Rajinder Pal & Mandeep Singh

  2. Department of Mathematics, Dr. B. R. Ambedkar National Instituite of Technology, Jalandhar, Punjab, 144011, India

    Jaspal Singh Aujla

Authors
  1. Yogesh Kapil
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  2. Rajinder Pal
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  3. Mandeep Singh
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  4. Jaspal Singh Aujla
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Correspondence to Yogesh Kapil.

Additional information

Communicated by Qingxiang Xu.

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Kapil, Y., Pal, R., Singh, M. et al. Some norm inequalities for operators. Adv. Oper. Theory 5, 627–639 (2020). https://doi.org/10.1007/s43036-019-00015-y

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  • DOI: https://doi.org/10.1007/s43036-019-00015-y

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