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SUMMARY:On factorization of nuclear operators through $S_{s\,p}$-operators
DTSTART;VALUE=DATE-TIME:20210704T074500Z
DTEND;VALUE=DATE-TIME:20210704T081500Z
DTSTAMP;VALUE=DATE-TIME:20260614T032422Z
UID:indico-contribution-194@indico.eimi.ru
DESCRIPTION:Speakers: Oleg Reinov ()\nWe consider the question of factoriz
 ations of products of $l_{r\,q}$-nuclear and close operators through the o
 perators of Schatten-Lorentz classes $S_{s\,p}(H).$\n\nTo get the sharpnes
 s of some results\, we apply the following generalization of a result of G
 . Pisier on convolution operators: *Given a compact Abelian group $G$ and 
 $f\\in C(G)\,$ the convolution operator $f\\!*\\cdot: M(G) \\to C(G)$ can 
 be factored through an $S_{s\,p}$-operator if and only if the set $\\hat f
 $ of Fourier coefficients of $f$ is in $l_{r\,q}\,$ where $1/q=1/p+1\, 1/r
 =1/s+1.$* If $q=r=1\,$  we get the result of G. Pisier.\n\nhttps://indico.
 eimi.ru/event/321/contributions/194/
LOCATION:
URL:https://indico.eimi.ru/event/321/contributions/194/
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