• 제목/요약/키워드: cotype q

검색결과 2건 처리시간 0.017초

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

  • Cho, Chong-Man
    • 대한수학회논문집
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    • 제17권1호
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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.

A NOTE ON M-IDEALS OF COMPACT OPERATORS

  • Cho, Chong-Man;Kim, Beom-Sool
    • 대한수학회보
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    • 제35권4호
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    • pp.683-687
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    • 1998
  • Suppose X is a subspace of $(\sum_{n=1} ^{\infty} X_n)_{c_0}$, dim $X_n<{\infty}$, which has the metric compact approximation property. It is proved that if Y is a Banach space of cotype q for some $2{\leq}1<{\infty}$ then K(X,Y) is an M-ideal in L(X,Y).

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