Wiciak, Margareta Product integral in a Fréchet algebra. (English) Zbl 1155.46309 Zesz. Nauk. Uniw. Jagiell. 1255, Univ. Iagell. Acta Math. 39, 281-298 (2001). Summary: Product integral of locally summable function in a Fréchet algebra is defined and some of its properties are proved. The main tool is the Arens-Michael representation of Fréchet algebra which allows us to extend the notion of the product integral from a Banach to Fréchet algebra. MSC: 46J99 Commutative Banach algebras and commutative topological algebras 28B99 Set functions, measures and integrals with values in abstract spaces 34G99 Differential equations in abstract spaces PDFBibTeX XMLCite \textit{M. Wiciak}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1255(39), 281--298 (2001; Zbl 1155.46309) Full Text: EuDML EMIS