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SUMMARY:Samya Kumar Ray
DTSTART:20210201T150000Z
DTEND:20210201T160000Z
DTSTAMP:20260423T021249Z
UID:GOBA/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOBA/18/">Is
 ometries between Schatten-$p$ classes</a>\nby Samya Kumar Ray as part of G
 roups\, Operators\, and Banach Algebras Webinar\n\n\nAbstract\nIsometries 
 between commutative and non-commutative $L_p$-spaces have a long history w
 hich starts from the seminal work of Banach himself. However\, despite man
 y remarkable results and characterization theorems not much is known when 
 finite dimensional Schatten-$p$ classes embed between each other. In this 
 direction\, together with my collaborators\, I have some rigidity results 
 about the isometric embeddability of finite dimensional Schatten-$p$ class
 . For example\, if $2 < p<\\infty$ and $T:\\ell_p^2\\to B(\\ell_2)$ is an 
 isometry\, then $T (e_1)\,T(e_2) \\in B(\\ell_2) K(\\ell_2)$. We also have
  applications in the direction of operator spaces. Interestingly\, our met
 hods are completely new and use various concepts such as Birkhoff-James or
 thogonality\, norm parallelism\, multiple operator integral and Kato-Relli
 ch theorem in the perturbation of a linear operator.\n
LOCATION:https://researchseminars.org/talk/GOBA/18/
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