Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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LIFTABLE OPERATORS ON SOME BANACH SPACES

  • Received : 2015.08.13
  • Accepted : 2015.09.14
  • Published : 2015.09.30
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Abstract

In this paper we show that some operators defined on the Banach space with an unconditional basis and $L^1({\mu})$ into a Banach space with the RNP have liftable operators.

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References

  1. J. Diestel and J. J. Uhl. Jr. Vector Measure, Math. Surveys Monographs 15, AMS, Providence RI.
  2. Diestel, Joe, Hans Jarchow, and Andrew Tonge. Absolutely summing operators. Vol. 43. Cambridge University Press, 1995.
  3. A. Grothendieck Une caraterisation vectorielle-metrique $L^1$, Canad J. Math. 7 (1955), 552-562 MR17. https://doi.org/10.4153/CJM-1955-060-6
  4. J. H Kang. Lifting properties on $L^1$(${\pi}$), Comm. Korean Math. 16 (1) (2001), 119-124.
  5. G. Kothe Hebbare lokakonvex Raume , Math. Ann., 4651. 165 (1993), 188-195.
  6. D. R. Lewis and C. Stegall Banach spaces whose duals are isomorphic to $l^1$(${\Gamma}$), J. Functional Analysis, 12 (1973), 177-187. https://doi.org/10.1016/0022-1236(73)90022-0
  7. A. Pelczynski Projections in certain Banach spaces, Studia Math., 19 (1960), 209-228. https://doi.org/10.4064/sm-19-2-209-228
  8. G. Pisier Factorization of linear operators and geometry of Banach spaces. No. 60. American Mathematical Soc., 1986.