Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COMPACT MATRIX OPERATORS BETWEEN THE SPACES m(ϕ), n(ϕ) AND ℓp

  • Malkowsky, Eberhard (Department of Mathematics University of Giessen, Department of Mathematics Faculty of Science Fatih University) ;
  • Mursaleen, Mohammad (Department of Mathematics Aligarh Muslim University)
  • Received : 2010.04.20
  • Published : 2011.09.30
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Abstract

We give the characterizations of the classes of matrix trans-formations ($m(\phi),{\ell}_p$), ($n(\phi),{\ell}_p$) ([5, Theorem 2]), (${\ell}_p,m(\phi)$) ([5, Theorem 1]) and (${\ell}_p,n(\phi)$) for $1{\leq}p{\leq}{\infty}$, establish estimates for the norms of the bounded linear operators defined by those matrix transformations and characterize the corresponding subclasses of compact matrix operators.

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References

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