Selfpolar Norms on an Indefinite Inner Product Space

Frank Hansen

Type: Article

Publication Date: 1980-12-31

Citations: 6

DOI: https://doi.org/10.2977/prims/1195186935

Abstract

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.

Locations

Publications of the Research Institute for Mathematical Sciences - View - PDF

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