Geodesic
Linear operators in the space of regulated functions
Mathematica Bohemica, Tome 117 (1992) no. 1, pp. 79-92

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MR Zbl
Representation of bounded and compact linear operators in the Banach space of regulated functions is given in terms of Perron-Stieltjes integral.
Representation of bounded and compact linear operators in the Banach space of regulated functions is given in terms of Perron-Stieltjes integral.
DOI : 10.21136/MB.1992.126231
Classification : 26A15, 26A39, 26A42, 28A25, 46E99, 47B07, 47B38
Keywords: space of all regulated functions; integral representations for the bounded and compact linear operations; regulated function; compact operator 
Schwabik, Štefan. Linear operators in the space of regulated functions. Mathematica Bohemica, Tome 117 (1992) no. 1, pp. 79-92. doi: 10.21136/MB.1992.126231
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[1] Ch. S. Hönig: Volterra-Stieltjes integral equations. North-Holland, Amsterdam, 1975. | MR

[2] M. Tvrdý: Regulated functions and the Perron-Stieltjes integral. Časopis pěst. mat. 114 (1989), 187-209. | MR

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