[Author]
Oleg Reinov
[Title]
$H^\infty$ and the Grothendieck approximation property
[AMS Subj-class]
30H10 Hardy spaces
46B28 Spaces of operators; tensor products; approximation properties
[Abstract]
This is a version of a talk at the Workshop and Autumn School
"Spaces of Analytic Functions and Singular Integrals (SAFSI2015)"
Russia, St. Petersburg, October 12-15, 2015.
We present a small survey of all (known to us, and we think to everybody)
results, concerning the following open question: Does $H^\infty$ have the
approximation property? Note that the best of the results is still the
theorem, due to Bourgain-Reinov (1983): $H^\infty$ has the approximation
property "up to log".
[Comments]
LaTeX, English, 27 pp.
[Contact e-mail]
orein51@mail.ru