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Article

Schwabik, Štefan
Operator-valued functions of bounded semivariation and convolutions. (English). Mathematica Bohemica, vol. 126 (2001), issue 4, pp. 745-777
MSC: 26A39, 26A42, 26A45, 26E20, 45N05, 46G12 | MR 1869466 | Zbl 1001.26005 | DOI: 10.21136/MB.2001.134117
Keywords:
Kurzweil-Henstock integration; convolution; Banach space
Summary:
The abstract Perron-Stieltjes integral in the Kurzweil-Henstock sense given via integral sums is used for defining convolutions of Banach space valued functions. Basic facts concerning integration are preseted, the properties of Stieltjes convolutions are studied and applied to obtain resolvents for renewal type Stieltjes convolution equations.
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