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O normalnih odvajanjih in ortogonalnostiTurnšek, AleksejNaj bo ▫$\delta_{A,B}$▫ posplošeno odvajanje na ▫$M_n$▫ definirano z ▫$\delta_{A,B}(X) = AX - XB$▫. Če sta ▫$A$▫ in ▫$B$▫ normalni matriki, potem je slika preslikave ▫$\delta_{A,B}$▫ ortogonalna na ... jedro te preslikave. Podamo tudi primer podprostora v ▫$M_2$▫, za katerega ne obstaja neničelni vektor, ki bi bil nanj ortogonalen.Source: Obzornik za matematiko in fiziko. - ISSN 0473-7466 (Let. 45, št. 6, 1998, str. 171-176)Type of material - article, component partPublish date - 1998Language - slovenianCOBISS.SI-ID - 8502873
Author
Turnšek, Aleksej
Topics
matematika |
linearna algebra |
teorija matrik |
linearne preslikave |
posplošena odvajanja |
mathematics |
linear algebra |
matrix theory |
linear maps |
generalised derivations
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Turnšek, Aleksej | 12191 |
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