- Mathematical Sciences and Applications E-Notes
- Volume:2 Issue:2
- SOME REMARKS ON L^p AS AN n-NORMED SPACE
SOME REMARKS ON L^p AS AN n-NORMED SPACE
Authors : ŞÜKRAN KONCA, HENDRAGUNAWAN, METİNBAŞARIR
Pages : 45-50
Doi:10.36753/mathenot.207621
View : 48 | Download : 8
Publication Date : 2014-12-01
Article Type : Research Paper
Abstract :As in 2-normed spaces, we can also give two definitions for Cauchysequences in n-normed spaces. It is known that in some cases, especially in thefinite dimensional case and the standard case, two definitions are equivalent.What is not clear is in the infinite dimensional case. In this paper, we willprove that these two definitions are still equivalent inpspaceKeywords : 2 norm, n norm, Cauchy sequence, convergence, the space of psummable sequences
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