Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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INTEGRATED RATE SPACE ∫ ℓπ

  • Subramanian, N. (Department of Mathematics Shanmugha Arts, Science, Technology and Research Academy, University) ;
  • Rao, K. Chandrasekhara (Department of Mathematics Srinivasa Ramanujan Centre Shanmugha Arts, Science, Technology and Research Academy, University) ;
  • Gurumoorthy, N. (Department of of Mathematics Shanmugha Arts, Science, Technology and Research Academy, University)
  • Published : 2007.10.31
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Abstract

This paper deals with the BK-AK property of the integrated rate space ${\int}{\ell}_{\pi}$. Importance of ${\delta}^{(k)}$ in this content is pointed out. We investigate a determining set for the integrated rate space ${\int}{\ell}_{\pi}$. The set of all infinite matrices transforming ${\int}{\ell}_{\pi}$, into BK-AK space Y is denoted $({\int}{\ell}_{\pi}:\;Y)$. We characterize the classes $({\int}{\ell}_{\pi}:\;Y)$. When $Y={\ell}_{\infty},\;c_0,\;c,\;{\ell}^p,\;bv,\;bv_0,\;bs,\;cs,\;{\ell}_p,\;{\ell}_{\pi}$. In summary we have the following table:

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References

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