Banach algebras, logarithms, and polynomials of convolution type
Review articleOpen access
1991/03/15 Full-length article DOI: 10.1016/0022-247X(91)90395-G
Journal: Journal of Mathematical Analysis and Applications
AbstractUsing elementary Banach algebra techniques, it is determined which elements of Banach algebras like l1(α), b(K), and A have logarithms. The Wiener-Lévy theorem will be used to answer the same question for more complicated Banach algebras like the Wiener algebra. These results will be applied to polynomials of convolution type and a generalization thereof.
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