ScholarLens Back to search
1980•Publications of the Research Institute for Mathematical SciencesOpen access

Selfpolar Norms on an Indefinite Inner Product Space

Frank Hansen

Open full text 6 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Inner product space, Mathematics, Product topology, Hilbert space, Space (punctuation), Product (mathematics), Pure mathematics, Equivalence (formal languages)

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Selfpolar Norms on an Indefinite Inner Product Space — Research Paper | ScholarLens