CONJECTURE OF BANACH SPACE OPERATOR IDEALS IN NUCLEAR SPACES

Authors

  • Musundi S. Wabomba, Shem O. Aywa Ombaka C. Ochieng, Njogu S. Muriuki, Fredrick Muthengi, Mugambi Dennis

Abstract

We apply the notion of Banach space operator ideals in nuclear spaces through
topological vector spaces. The motivation for this study came from attempts to generalize the structure of nuclear spaces as a result of nuclear maps from functional analysis context. The compact closed structure associated with the category of relations results to nuclear ideals. Basic properties of Banach space operator ideals in relation to the structure of nuclear spaces will be demonstrated. We therefore establish a close correspondence between Banach space operator ideals and nuclear ideals through topological vector
spaces.

Mathematics Subject Classification: 46A03, 46A22, 46B50.

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Published

2013-10-10

How to Cite

Fredrick Muthengi, Mugambi Dennis, M. S. W. S. O. A. O. C. O. N. S. M. (2013). CONJECTURE OF BANACH SPACE OPERATOR IDEALS IN NUCLEAR SPACES. Asian Journal of Current Engineering and Maths, 2(3). Retrieved from http://medicaleditor.uk/index.php/ajcem/article/view/173

Issue

Vol. 2 No. 3 (2013): ASIAN JOURNAL OF CURRENT ENGINEERING AND MATHS

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Articles

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