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On the admissibility of the space L0(A,X) of vector-valued measurable functions

Diana Caponetti|Grzegorz Lewicki|Alessandro Trombetta|Giulio Trombetta
대한수학회 (The Korean Mathematical Society)|2013.11|대한수학회보 (Bulletin of the KMS)|제50권 제6호|pp. 1915-1922

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참고문헌

키워드

measurable functionadmissible spacefinitely additive set function
주제분류수학

초록

We prove the admissibility of the space L0(A,X) of vector- valued measurable functions determined by real-valued finitely additive set functions defined on algebras of sets.

Abstract

We prove the admissibility of the space L0(A,X) of vector- valued measurable functions determined by real-valued finitely additive set functions defined on algebras of sets.

참고문헌 (14)

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  8. J. Ishii, "On the admissibility of function spaces", J. Fac. Sci. Hokkaido Univ. Series I, 19, pp.49~55 (1965)
  9. H. Jarchow, "Locally Convex Spaces, Mathematical Textbooks" (1981), B. G. Teubner
  10. M. Nagumo, "Degree of mapping in convex linear topological spaces", Amer. J. Math, 73, pp.497~511 (1951)
  11. P. Niemiec, "Spaces of measurable functions, to appear in Cent", Eur. J. Math, 11, pp.1304~1316 (2013)
  12. T. Riedrich, "Die Raume Lp(0, 1) (0 < p < 1) sind zulassig", Wiss. Z. Techn. Univ. Dresden, 12, pp.1149~1152 (1963)
  13. T. Riedrich, "Der Raum S(0, 1) ist zulassig", Wiss. Z. Techn. Univ. Dresden, 13, pp.1~6 (1964)
  14. T. Runst, "Sobolev spaces of fractional order, Nemytskij operators, and nonlinear partial differential equations" (1996), De Gruyter Ser. Nonlinear Anal. Applications

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