6533b85ffe1ef96bd12c249e

RESEARCH PRODUCT

QUASI *-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS

Camillo Trapani

subject

Discrete mathematicsHilbert manifoldHilbert spaceStatistical and Nonlinear PhysicsRigged Hilbert spaceOperator spaceCompact operator on Hilbert spaceAlgebraPOVMsymbols.namesakeOperator algebraHermitian adjointsymbolsMathematical PhysicsMathematics

description

The main facts of the theory of quasi*-algebras of operators acting in a rigged Hilbert space are reviewed. The particular case where the rigged Hilbert space is generated by a self-adjoint operator in Hilbert space is examined in more details. A series of applications to quantum theories are discussed.

https://doi.org/10.1142/s0129055x95000475