<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Having in mind a well-known connection between norms and metrics on vector spaces, for an additively written group X, we establish a natural Galois connection between functions of X to ℝ and X<sup>2</sup> to ℝ.</p></abstract>

Having in mind a well-known connection between norms and metrics on vector spaces, for an additively written group X, we establish a natural Galois connection between functions of X to ℝ and X2 to ℝ.

A natural Galois connection between generalized norms and metrics

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A natural Galois connection between generalized norms and metrics"}

Having in mind a well-known connection between norms and metrics on vector spaces, for an additively written group X, we establish a natural Galois connection...

A natural Galois connection between generalized norms and metrics

Pubblicato online: 07 mar 2018

Pagine: 360 - 373

Ricevuto: 02 feb 2017

DOI: https://doi.org/10.1515/ausm-2017-0027

Parole chiave
groups, preseminorms, invariant semimetrics, Galois connections

© 2017 Árpád Száz, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A natural Galois connection between generalized norms and metrics

Pubblicato online: 07 mar 2018

Pagine: 360 - 373

Ricevuto: 02 feb 2017

DOI: https://doi.org/10.1515/ausm-2017-0027

Parole chiavegroups, preseminorms, invariant semimetrics, Galois connections

© 2017 Árpád Száz, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parole chiave
groups, preseminorms, invariant semimetrics, Galois connections