Limits in Sequence and Function Spaces

A.N. Kumar¹ , L.K. Sharan²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.265-269, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.265269

Online published on Dec 31, 2018

Copyright © A.N. Kumar, L.K. Sharan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this work we have developed the study of sequence spaces, by establishing some of the results. We have also extended the study by establishing a few results to the case of function space analogous to that for sequence spaces. We also construct some suitable sequence and function spaces. In Result and Discussion section , 1st part we have established some of the result on the sequence spaces and in 2nd part we have established a few results using the definitions of different limits in function spaces. These have done on account of previous work here we refer [Cooke, (1),chapter 10].

Key-Words / Index Term :
Co-ordinate Convergent , Projective Convergent, Co-ordinate Limit ,Projective Limit , ,in case of sequence space and Dual Space, Perfect Space ,Parametric Convergent, Parametric Limit, Projective Convergent and Projective Limit in case of function space

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