RT journal article
T1 Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs
A1 Abdelwahab, Hani
A1 Barreiro, Elisabete
A1 Calderón Martín, Antonio Jesús
A1 Sánchez Delgado, José María
A2 Matemáticas
K1 linear operators
K1 pre-Euclidean spaces
K1 graph theory
AB In this work, we study a linear operator f on a pre-Euclidean space V by using propertiesof a corresponding graph. Given a basis B of V, we present a decomposition of V as an orthogonaldirect sum of certain linear subspaces fUigi2I , each one admitting a basis inherited from B, in suchway that f = åi2I fi. Each fi is a linear operator satisfying certain conditions with respect to Ui.Considering this new hypothesis, we assure the existence of an isomorphism between the graphs of frelative to two different bases. We also study the minimality of V by using the graph of f relativeto B.
PB MDPI
SN 2227-7390
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32047
UL http://hdl.handle.net/10498/32047
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026