대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제9권3호
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- Pages.599-606
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- 1994
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
ANALYTIC OPERATOR-VALUED FUNCTION SPACE INTEGRAL REPRESENTED AS THE BOCHNER INTEGRAL:AN$L(L_2)$ THEORY
- Chang, Kun-Soo (Department of Mathematics, Yonsei University) ;
- Park, Ki-Seong (Department of Mathematics, Keonyang University, Nonsan 320-800) ;
- Ryu, Kun-Sik (Department of Mathematics, Hannam University, Daejon 330-791)
- 발행 : 1994.07.01
초록
In [1], Cameron and Storvick introduced the analytic operator-valued function space integral. Johnson and Lapidus proved that this integral can be expressed in terms of an integral of operator-valued functions [6]. In this paper, we find some operator-valued Bochner integrable functions and prove that the analytic operator-valued function space integral of a certain function is represented as the Bochner integral of operator-valued functions on some conditions.
키워드