Nontrivial invariant subspaces of linear operator pencils

Authors

Jaewoong Kim
Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

3-2024

Abstract

In this paper, we introduce the spherical polar decomposition of the linear pencil of an ordered pair T=(T1,T2) and investigate nontrivial invariant subspaces between the generalized spherical Aluthge transform of the linear pencil of T and the linear pencil of the original pair T of bounded operators with dense ranges.

Comments

https://www.cambridge.org/core/services/open-access-policies/read-and-publish-agreements/oa-agreement-university-of-texas-system

© The Author(s), 2023.

Recommended Citation

Kim, Jaewoong, and Jasang Yoon. "Nontrivial invariant subspaces of linear operator pencils." Canadian Mathematical Bulletin 67, no. 1 (2024): 1-8. https://doi.org/10.4153/S0008439523000462

Publication Title

Canadian Mathematical Bulletin

DOI

10.4153/S0008439523000462