[Authors]
 Oleg Reinov

[Title]
 Finite dimensional aspect of existence of non-nuclear operators with s-nuclear
 adjoints

[AMS Subj-class]
 47B10 Operators belonging to operator ideals (nuclear, $p$-summing,
       in the Schatten-von Neumann classes, etc.)

[Abstract]
 In 2014, answering  a question of A. Hinrichs and A. Pietsch (2010), we have
 found some sharp conditions for a operator in Banach spaces to be nuclear,
 if its adjoint is s-nuclear (0 < s < 1). Now, we present some finite
 dimensional analogues of these results.
 This is a lecture given at The International Conference Asymptotic Geometric
 Analysis III, at the Euler International Mathematical Institute
 (St. Petersburg, Russia), June 17 - 22, 2016.

[Comments]
 LaTeX, English, 23 pp.

[Contact e-mail]
 orein51@mail.ru