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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

##### MSC:
 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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##### References:
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