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Operators whose tensor powers are \(\epsilon\)-\(\pi\)-continuous. (English) Zbl 0695.47015
This paper deals with operators between Banach spaces E, F whose r-th tensor power is continuous from \(\otimes^ r_{\epsilon}E\) into \(\otimes^ r_{\pi}F\). It is shown that for \(r=3\), any product of \(\ell\) such operators has its sequence of Weyl-numbers contained in \(\ell_{p,q}\) with \(p=6/(\ell -1)\) and \(q=\infty\).
Reviewer: U.Schlotterbeck

47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46M05 Tensor products in functional analysis
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