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G-invariant norms and bicircular projections (CROSBI ID 132358)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Fošner, Maja ; Ilišević, Dijana ; Li, Chi-Kwong G-invariant norms and bicircular projections // Linear algebra and its applications, 420 (2007), 2-3; 596-608. doi: 10.1016/j.laa.2006.08.014

Podaci o odgovornosti

Fošner, Maja ; Ilišević, Dijana ; Li, Chi-Kwong

engleski

G-invariant norms and bicircular projections

It is shown that for many finite dimensional vector spaces V over C, a linear projection P : V \to V will have nice structure if P + \lambda (I-P) is an isometry for some complex unit not equal to one. From these results, one can readily determine the structure of bicircular projections, i.e., those linear projections P such that P + \mu (I-P) is an isometry for every complex unit \mu. The key ingredient in the proofs is the knowledge of the isometry group of the given norm. The proof techniques also apply to real vector spaces. In such cases, characterizations are given to linear projections P such that P-(I-P)=2P-I is an isometry.

bicircular projection ; symmetric norms ; unitarily invariant norms ; unitary congruence invariant norms ; unitary similarity invariant norms

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Podaci o izdanju

420 (2-3)

2007.

596-608

objavljeno

0024-3795

1873-1856

10.1016/j.laa.2006.08.014

Povezanost rada

Matematika

Poveznice
Indeksiranost