Quasi-invariant subspaces generated by polynomials with nonzero leading terms

• Autorzy: Kunyu Guo , Shengzhao Hou
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 47A15: Invariant subspaces
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 164
• Numer: 3
• Strony: 231-241

Daty

wydano

2004

Twórcy

autor

Kunyu Guo

• Department of Mathematics, Fudan University, Shanghai 200433, People's Republic of China

autor

Shengzhao Hou

• Department of Mathematics, Shanxi Teachers University, Linfen 041004, People's Republic of China
• Institute of Mathematics, Jiaxing College, Jiaxing 314001, People's Republic of China

Identyfikatory

DOI

10.4064/sm164-3-2