Bochner product integration
Mathematica Bohemica, Tome 119 (1994) no. 3, pp. 305-335
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A new definition of the product integral is given. The definition is based on a procedure which is analogous to the sum definition of the Bochner integral given by J. Kurzweil and E.J. McShane. The new definition is shown to be equivalent to the seemingly verey different one given by J.D. Dollard and C.N. Friedman in [1] and [2].
A new definition of the product integral is given. The definition is based on a procedure which is analogous to the sum definition of the Bochner integral given by J. Kurzweil and E.J. McShane. The new definition is shown to be equivalent to the seemingly verey different one given by J.D. Dollard and C.N. Friedman in [1] and [2].
DOI : 10.21136/MB.1994.126162
Classification : 26A42, 28B05
Keywords: Kurzweil-Henstock integral; Bochner integral; product integral; Bochner product integral
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Schwabik, Štefan. Bochner product integration. Mathematica Bohemica, Tome 119 (1994) no. 3, pp. 305-335. doi: 10.21136/MB.1994.126162

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