Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 9 Issue 3
- /
- Pages.599-606
- /
- 1994
- /
- 1225-1763(pISSN)
- /
- 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)
- Published : 1994.07.01
Abstract
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.
Keywords