On the Subspace Problem for Quasi-normed Spaces

Mangatiana A. Robdera

doi:10.9734/ARJOM/2016/26927

Research Article Open access CC BY 4.0

On the Subspace Problem for Quasi-normed Spaces

Mangatiana A. Robdera

Asian Research Journal of Mathematics · pp. 1–7 · Published 2 Jul 2016

10.9734/ARJOM/2016/26927

Abstract

A definitive positive answer to the so-called proper subspace problem (a.k.a. the atomic space problem) for quasi-normed spaces is given: every infinite dimensional quasi-normed space has a proper closed infinite-dimensional subspace.

Quasi-Banach spaces Hahn-Banach extension property Minkowski functional semi-norm

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Mangatiana A. Robdera (2016). On the Subspace Problem for Quasi-normed Spaces. Asian Research Journal of Mathematics , 1–7. https://doi.org/10.9734/ARJOM/2016/26927

Affiliations

Mangatiana A. Robdera — Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswan.

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