Invariant subspaces of powers of some unicellular operators
Functional Analysis
2022-05-03 v1
Abstract
In this paper we study subspaces which are invariant under squares and cubes (separately as well as jointly) of unicellular backward weighted shift operators on a separable Hilbert space. The finite-dimensional subspaces are characterized for all weights and the infinite-dimensional subspaces are characterized for two classes of weights.
Keywords
Cite
@article{arxiv.2205.00252,
title = {Invariant subspaces of powers of some unicellular operators},
author = {Sneh Lata and Sushant Pokhriyal and Dinesh Singh},
journal= {arXiv preprint arXiv:2205.00252},
year = {2022}
}