On Inner Characterizations of Pseudo-Krein and Pre-Krein Spaces
On Inner Characterizations of Pseudo-Krein and Pre-Krein Spaces
For developing a theory of ^* -representations of ^* -algebras \mathcal A on (indefinite) inner product spaces E,(\cdot, \cdot) , the classes of pseudo-Krein and pre-Krein spaces which admit a Hilbert space structure and exactly one maximal Hilbert space structure, respectively, are introduced. Inner characterizations for the topological structure of …