Recent content by mozganutyj

  1. M

    MHB Cauchy-Schwarz inequality for pre-inner product

    Thanks, Opalg, for warm greetings! Yes, the proof is pretty straightforward indeed - I've stumbled over the moment when I've decided to prove it in different way, than the standard technique. Maybe, Blackadar has trapped me (Smile) when he had considered the [y,y]=0 case as trivial, thus making...
  2. M

    MHB Cauchy-Schwarz inequality for pre-inner product

    Dear all, I've encountered some problems while looking through the book called "Operator Algebras" by Bruce Blackadar. At the very beginning there is a definition of pre-inner product on the complex vector space: briefly, it's the same as the inner product, but the necessity of x=0 when [x,x]=0...
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