2-Quasi-l-Nuclear Maps
Authors : W. Shatanawi
Pages : 157-167
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Publication Date : 9999-12-31
Article Type : Makaleler
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 -nuclearKeywords : Turk. J. Math., 29, (2005), 157-167. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.2.