Quasi-invariant subspaces generated by polynomials with nonzero leading terms

Kunyu Guo; Shengzhao Hou

Quasi-invariant subspaces generated by polynomials with nonzero leading terms

Kunyu Guo; Shengzhao Hou

Studia Mathematica (2004)

Volume: 164, Issue: 3, page 231-241
ISSN: 0039-3223

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Abstract

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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].

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Kunyu Guo, and Shengzhao Hou. "Quasi-invariant subspaces generated by polynomials with nonzero leading terms." Studia Mathematica 164.3 (2004): 231-241. <http://eudml.org/doc/285368>.

@article{KunyuGuo2004,
abstract = {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].},
author = {Kunyu Guo, Shengzhao Hou},
journal = {Studia Mathematica},
keywords = {Fock space; quasi-invariant space},
language = {eng},
number = {3},
pages = {231-241},
title = {Quasi-invariant subspaces generated by polynomials with nonzero leading terms},
url = {http://eudml.org/doc/285368},
volume = {164},
year = {2004},
}

TY - JOUR
AU - Kunyu Guo
AU - Shengzhao Hou
TI - Quasi-invariant subspaces generated by polynomials with nonzero leading terms
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 3
SP - 231
EP - 241
AB - 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].
LA - eng
KW - Fock space; quasi-invariant space
UR - http://eudml.org/doc/285368
ER -

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