• 제목/요약/키워드: absolutely p-summing operator

검색결과 2건 처리시간 0.015초

EXTENDING AND LIFTING OPERATORS ON BANACH SPACES

  • Kang, JeongHeung
    • Korean Journal of Mathematics
    • /
    • 제27권3호
    • /
    • pp.645-655
    • /
    • 2019
  • In this article, we show that the nuclear operator defined on Banach space has an extending and lifting operator. Also we give new proofs of the well known facts which were given $Pelcz{\acute{y}}nski$ theorem for complemented subspaces of ${\ell}_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1({\mu})$.