Turkish Journal of Mathematics
Abstract
As is well known, for any operator $T$ on a complex separable Hilbert space, $T$ has the polar decomposition $T=U T $, where $U$ is a partial isometry and $ T $ is the nonnegative operator $(T^*T)^{\frac{1}{2}}$. In 2014, Tian et al. proved that on a complex separable infinite dimensional Hilbert space, any operator admits a polar decomposition in a strongly irreducible sense. More precisely, for any operator $T$ and any $\varepsilon>0$, there exists a decomposition $T=(U+K)S$, where $U$ is a partial isometry, $K$ is a compact operator with $ K
DOI
10.3906/mat-1507-4
Keywords
Polar decomposition, strongly irreducible operator, Jordan block
First Page
1110
Last Page
1113
Recommended Citation
LUO, J, LI, J, & TIAN, G (2016). On a factorization of operators on finite dimensional Hilbert spaces. Turkish Journal of Mathematics 40 (5): 1110-1113. https://doi.org/10.3906/mat-1507-4
