Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2025

Volume:

17

Number:

14

ISSN:

1829-1163

Official URL:

Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

1-19

Abstract:

A basis of a real symmetric bilinear space is calledan isotropic basis if all its elements are isotropic. In this pa-per, we provide both necessary and sufficient conditions for theexistence of such an isotropic basis. We present one geomet-ric method and two linear algebraic methods for constructingisotropic bases. Additionally, we address a question arising fromthe properties of symmetric bilinear forms. As a consequence,we explore various properties of the vector space spanned by thepreimage set of a point under a real-valued continuous function.We also demonstrate some applications of these properties withinthe context of real symmetric bilinear spaces.

Format:

pdf

Identifier:

oai:arar.sci.am:440024

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան