Turkish Journal of Mathematics
DOI
-
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-\lambda -nuclear map between normed spaces, and we prove that the composition of a 2-quasi-\lambda -nuclear map with a quasi- \lambda -nuclear map is a pseudo-\lambda -nuclear map. Also, we prove that a quasi-\lambda -nuclear map is a 2-quasi-\lambda -nuclear map. For a nuclear G_{\infty} -space, we prove that a linear map T between normed spaces is 2-quasi-\lambda -nuclear if and only if it is quasi-\lambda -nuclear
First Page
157
Last Page
167
Recommended Citation
SHATANAWI, WASFI (2005) "2-Quasi-\lambda-Nuclear Maps," Turkish Journal of Mathematics: Vol. 29: No. 2, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol29/iss2/5
