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arXiv · 1003.0085

Banach spaces without approximation properties of type p

Oleg Reinov·Qaisar Latif
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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.

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Oleg Reinov, Qaisar Latif. 2010-04-25. Banach spaces without approximation properties of type p. https://arxiv.org/abs/1003.0085

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