Selfpolar Norms on an Indefinite Inner Product Space

Frank Hansen

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)889-913
Number of pages25
JournalPublications of the Research Institute for Mathematical Sciences
Volume16
Issue number3
DOIs
Publication statusPublished - 1980 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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