##### Banach algebras, logarithms, and polynomials of convolution type

Review articleOpen access###### A. Di Bucchianico - No affiliation found

**1991/03/15**DOI: 10.1016/0022-247X(91)90395-G

*Full-length article***Journal:**Journal of Mathematical Analysis and Applications

##### Abstract:

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.

Request full text