Geodesic
Nontrivial invariant subspaces of linear operator pencils
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 1-8

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DOI

In this paper, we introduce the spherical polar decomposition of the linear pencil of an ordered pair $\mathbf {T}=(T_{1},T_{2})$ and investigate nontrivial invariant subspaces between the generalized spherical Aluthge transform of the linear pencil of $\mathbf {T}$ and the linear pencil of the original pair $\mathbf {T}$ of bounded operators with dense ranges.
DOI : 10.4153/S0008439523000462
Mots-clés : 47A13, Linear pencil, polar decomposition, Aluthge transform, invariant subspaces 
Kim, Jaewoong; Yoon, Jasang. Nontrivial invariant subspaces of linear operator pencils. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 1-8. doi: 10.4153/S0008439523000462
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