We introduce a partial order relation in the Fock space. Applying it we show that for the quasi-invariant subspace [p] generated by a polynomial p with nonzero leading term, a quasi-invariant subspace M is similar to [p] if and only if there exists a polynomial q with the same leading term as p such that M = [q].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-3-2,
author = {Kunyu Guo and Shengzhao Hou},
title = {Quasi-invariant subspaces generated by polynomials with nonzero leading terms},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {231-241},
zbl = {1059.46028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-3-2}
}
Kunyu Guo; Shengzhao Hou. Quasi-invariant subspaces generated by polynomials with nonzero leading terms. Studia Mathematica, Tome 162 (2004) pp. 231-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-3-2/