Selfpolar Norms on an Indefinite Inner Product Space
Frank Hansen · Publications of the Research Institute for Mathematical Sciences · 1980
A vector space equipped with an indefinite inner product is investigated.Selfpolar norms on the space are studied and an operator description for quadratic selfpolar norms is developed when the space allows a Hilbert space topology making the indefinite inner product continuous.The selfpolar norms corresponding to a quasi-decomposition of the space are characterised in terms of the operator description and sufficient conditions for topological equivalence are given.