Noncommmutative Gelfand Duality for not necessarily unital $C^{\ast }$-algebras, Jordan Canonical form, and the existence of invariant subspaces

Mukul S. Patel

Gelfand-Naimark duality (Commutative $C^{\ast }$-algebras $\equiv$ Locally compact Hausdorff spaces) is extended to $C^{\ast }$-algebras $\equiv$ Quotient maps on locally compact Hausdorff spa…