Mishra, Diwakar On a class of bicomplex sequences. (English) Zbl 1213.30086 South East Asian J. Math. Math. Sci. 6, No. 3, 85-99 (2008). Summary: We consider a class \(\mathcal B\) of bicomplex sequences, i.e. sequences of bicomplex numbers. A modified Banach algebraic structure is provided to \(\mathcal B\) which is not a division algebra. Invertible and quasi-invertible elements in \(\mathcal B\) are characterised. By defining a suitable involution \(\mathcal B\) becomes a modified Banach\({}^ *\) algebra, which is not a \(\mathrm{B}^ *\) algebra. Topological zero divisors in \(\mathcal B\) are studied. MSC: 30G35 Functions of hypercomplex variables and generalized variables 46H99 Topological algebras, normed rings and algebras, Banach algebras 46K05 General theory of topological algebras with involution PDFBibTeX XMLCite \textit{D. Mishra}, South East Asian J. Math. Math. Sci. 6, No. 3, 85--99 (2008; Zbl 1213.30086)