Quasi Jordan Banach algebras with involution
We initiate a study of involutions in the setting of complex quasi Jordan algebras and discuss the notions of self-adjoint and unitary elements; besides other results, we also obtain a Russo-Dye type theorem for unital involutive split quasi Jordan Banach algebras.
We initiate a study of involutions in the setting of complex quasi Jordan algebras and discuss the notions of self-adjoint and unitary elements; besides other results, we also obtain a Russo-Dye…
The notion of quasi-Jordan algebras was originally proposed by R. Velasquez and R. Fellipe. Later, M. R. Bremner provided a modification called K-B quasi-Jordan algebras; these include all Jordan…
Idempotents play a basic role in the study of algebras. Peirce decomposition induced by an idempotent is
an important tool in the structure theory of non-associative algebras. In this note…