[Authors]
Oleg Reinov and Qaisar Latif
[Title]
Banach spaces without approximation properties of type $p$
[AMS Subj-class]
46B28 Spaces of operators; tensor products; approximation properties
[Abstract]
The main purpose of this note is to show that the question posed in the paper
of Sinha D.P. and Karn A.K. ("Compact operators which factor through subspaces
of $l_p$ Math. Nachr. 281, 2008, 412-423; see the very end of that paper)
has a negative answer, and that the answer was known, essentially, in 1985
after the papers [2], [3] by Reinov O.I. have been appeared in 1982 and
in 1985 respectively.
[Comments]
AMSTeX, English, 4 pp.
[Contact e-mail]
orein51@mail.ru