Villanueva, Ignacio and Pérez García, David and Cabello Sánchez, Félix (2006) Unexpected subspaces of tensor products. Journal of the London Mathematical Society. Second Series, 74 (2). pp. 512526. ISSN 00246107

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Official URL: http://jlms.oxfordjournals.org/content/74/2.toc
Abstract
We describe complemented Copies Of l(2) both in C(K1)circle times Cpi(K2) when at least one of the compact spaces Ki is not scattered and in L1(mu(1))circle times Lis an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly complemented copies of the l(2)(n) in c(0)circle times(pi)c(0.) We continue the study of c(0)(l(2)(n)) showing that it contains a complemented copy of Stegall's space c(0)(l(2)(n)) and proving that (c(0)circle times(pi)c(0))" is isomorphic to l infinity(l(infinity)(n)circle times(pi)l(infinity)(n)) together with other results. 2 In the last section we use Hardy spaces to find an isomorphic copy of Lp in the space of compact operators from Lq to Lr, where 1 < p, q, r < infinity and 1/r = 1/p + 1/q.
Item Type:  Article 

Uncontrolled Keywords:  DunfordPettis property; Banachspaces 
Subjects:  Sciences > Mathematics > Mathematical analysis 
ID Code:  11823 
Deposited On:  14 Dec 2010 07:58 
Last Modified:  06 Feb 2014 09:11 
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