2-Quasi-l-Nuclear Maps

Authors : W. SHATANAWI

Pages : 157-167

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper we generalize the well-known result which says that the composition of quasi-nuclear maps is nuclear. More precisely, we define what we call a 2-quasi-l -nuclear map between normed spaces, and we prove that the composition of a 2-quasi-l -nuclear map with a quasi- l -nuclear map is a pseudo-l -nuclear map. Also, we prove that a quasi-l -nuclear map is a 2-quasi-l -nuclear map. For a nuclear G\infty -space, we prove that a linear map T between normed spaces is 2-quasi-l -nuclear if and only if it is quasi-l -nuclear
Keywords : Turk J Math, 29, 2005, , 157 167 Turk J Math, vol 29, iss 2