• Title/Summary/Keyword: cotype q, $^\ell$-sum

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OPERATORS FROM CERTAIN BANACH SPACES TO BANACH SPACES OF COTYPE q ≥ 2

  • Cho, Chong-Man
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.53-56
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    • 2002
  • Suppose { $X_{n}$}$_{n=1}$$^{\infty}$ sequence of finite dimensional Banach spaces and suppose that X is either a closed subspace of (equation omitted) or a closed subspace of (equation omitted) with p>2. We show that every bounded linear operator from X to a Banach space Y of cotype q(2$\leq$q〈p) is compact.t.t.