# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Quasi-invariant subspaces generated by polynomials with nonzero leading terms

### Tom 164 / 2004

Studia Mathematica 164 (2004), 231-241 MSC: 46J15, 46H25, 47A15. DOI: 10.4064/sm164-3-2

#### Streszczenie

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 $M=[q].$

#### Autorzy

• Kunyu GuoDepartment of Mathematics
Fudan University
Shanghai 200433
People's Republic of China
e-mail
• Shengzhao HouDepartment of Mathematics
Shanxi Teachers University
Linfen 041004
People's Republic of China
and
Institute of Mathematics
Jiaxing College
Jiaxing 314001
People's Republic of China
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek