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ON COTYPE AND SUMMING PROPERTIES FOR BANACH SPACE OPERATORS

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.255-273
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    • 2005
  • We characterize Gaussian cotype X operators acting between Banach spaces, where X is a Banach sequence space. Further we give an extensive presentation of results on the connections between cotype and summing operators.

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SEQUENTIAL COMPACTNESS AND SEMICOMPACTNESS

  • Myung, Jae Deuk;Choi, Hee Chan
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.211-215
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    • 1997
  • In this paper, we introduce two notions of compactness defined by sequential convergence and compare them.

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BANACH-STEINHAUS PROPERTIES OF LOCALLY CONVEX SPACES

  • Chengri, Cui;Han, Songho
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.227-232
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    • 1997
  • Banach-Steinhaus type results are established for sequentially continuous operators and bounded operators between locally convex spaces without barrelledness.

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PETTIS INTEGRABILITY

  • Lim, Hui
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.195-198
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    • 1997
  • In this paper, we have some characterizations of Pettis integrability of bounded weakly measurable function $f:{\Omega}{\rightarrow}X^*$ determined by separable subspace of $X^*$.

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