CONJECTURE OF BANACH SPACE OPERATOR IDEALS IN NUCLEAR SPACES

Cite this:
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://innovativejournal.in/index.php/ajcem/article/view/173
© 2022 Interactive Protocols
RIGHTS & PERMISSIONS
Article Views
333
Altmetric
1
Citations
-
LEARN ABOUT THESE METRICS
   PDF  

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.

KEYWORDS:

 Special Issue

Article Metrics Graph

Chart Graph | Range Graph

Content

Section

Source

License

COPYRIGHT AGREEMENT AND AUTHORSHIP RESPONSIBILITY

 

All paper submissions must carry the following duly signed by all the authors:

“I certify that I have participated sufficiently in the conception and design of this work and the analysis of the data (wherever applicable), as well as the writing of the manuscript, to take public responsibility for it. I believe the manuscript represents valid work. I have reviewed the final version of the manuscript and approve it for publication. Neither has the manuscript nor one with substantially similar content under my authorship been published nor is being considered for publication elsewhere, except as described in an attachment. Furthermore I attest that I shall produce the data upon which the manuscript is based for examination by the editors or their assignees, if requested.”