ON DIRECT SUM DECOMPOSITIONS OF HESTENES ALGEBRAS,
Abstract
A discussion is presented of the Hestenes ternary algebra with an involution as the natural framework for the generalizations of the concepts of Hermitian and normal matrices and of self-adjoint and normal closed dense operators on a Hilbert space, and of a spectral theory for such operators. Suitable regularity conditions rather than minimum polynomials are invoked to characterize the elements of a *-linear algebra A which have *-reciprocals. These reciprocals are related to certain direct sum decompositions of A which are of independent interest. Other decompositions are also given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1963
- Accession Number
- AD0424300
Entities
People
- Adi Ben-israel
Organizations
- Northwestern University