This is an announcement for the paper "Banach spaces without approximation properties of type p" by Oleg Reinov and Qaisar Latif.

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 "Approximation properties of order p and the existence of non-p-nuclear operators with p-nuclear second adjoints" (Math. Nachr. 109(1982), 125-134) and "Approximation of operators in Banach spaces" (Application of functional analysis in the approximation theory (KGU, Kalinin), 1985, 128-142) by Reinov O.I. have been appeared in 1982 and in 1985 respectively.

Archive classification: math.FA

Mathematics Subject Classification: 46B28

Remarks: LATeX, English (4 pp.)

The source file(s), FA_J_LAT.tex: 15882 bytes, is(are) stored in gzipped form as 1003.0085.gz with size 6kb. The corresponding postcript file has gzipped size 84kb.

Submitted from: orein51@mail.ru

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