Article
MSC:
26A15,
26A39,
26A42,
28A25,
46E99,
47B07,
47B38 | MR 1154057 | Zbl 0790.47023 | DOI: 10.21136/MB.1992.126231
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Keywords:
space of all regulated functions; integral representations for the bounded and compact linear operations; regulated function; compact operator
space of all regulated functions; integral representations for the bounded and compact linear operations; regulated function; compact operator
Summary:
Representation of bounded and compact linear operators in the Banach space of regulated functions is given in terms of Perron-Stieltjes integral.
References:
[1] Ch. S. Hönig: Volterra-Stieltjes integral equations. North-Holland, Amsterdam, 1975. MR 0499969
[2] M. Tvrdý: Regulated functions and the Perron-Stieltjes integral. Časopis pěst. mat. 114 (1989), 187-209. MR 1063765
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