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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\'ynski theorem for complemented subspaces of $\ell_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1(\mu)$.
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참고문헌 (19)
참고문헌 신청
J. Diestel / 1995 / Absolutely summing operators, Vol. 43 / Cambridge University Press
J. Diestel / Vector Measures / Math. Surveys Monographs 15
A. Grothendieck / 1955 / Une caraterisation vectorielle-metrique L1 / Canad J. Math 7:552~562
W.B. Johnson / 2001 / Handbook of the Geometry of Banach Spaces, Vol. 2 / Elsevier Science B.V
W.B. Johnson / 1989 / Extension of operators from subspaces of c0(Γ) into C(K) space / Proc. Amer. Math. Soc 107:751~754
J. Diestel / Vector Measures / Math. Surveys Monographs 15
A. Grothendieck / 1955 / Une caraterisation vectorielle-metrique L1 / Canad J. Math 7:552~562
W.B. Johnson / 2001 / Handbook of the Geometry of Banach Spaces, Vol. 2 / Elsevier Science B.V
W.B. Johnson / 1989 / Extension of operators from subspaces of c0(Γ) into C(K) space / Proc. Amer. Math. Soc 107:751~754
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