  The article is devoted to quasilinear operators in spaces over quaternions
and octonions. Spectral theory of bounded and unbounded operators is
investigated. Analogs of C^* algebras are defined and studied. Among main
results are analogs of the Gelfand-Mazur, Stone, Gelfand-Naimark-Segal, von
Neumann, Kaplansky, etc. theorems, but here over the skew field of quaternions
and the octonion algebra.

Operator Algebras;Functional Analysis