Geodesic
Quasi-invariant subspaces generated by polynomials with nonzero leading terms
Kunyu Guo1 ; Shengzhao Hou2
1Department of Mathematics Fudan University Shanghai 200433 People's Republic of China
2Department 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
Studia Mathematica, Tome 164 (2004) no. 3, pp. 231-241
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $M=[q].$
DOI : 10.4064/sm164-3-2
Keywords: introduce partial order relation fock space applying quasi invariant subspace generated polynomial nonzero leading term quasi invariant subspace similar only there exists polynomial leading term

Kunyu Guo  1   ; Shengzhao Hou  2

1 Department of Mathematics Fudan University Shanghai 200433 People's Republic of China
2 Department 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 
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Kunyu Guo; Shengzhao Hou. Quasi-invariant subspaces generated
 by polynomials with nonzero leading terms. Studia Mathematica, Tome 164 (2004) no. 3, pp. 231-241. doi: 10.4064/sm164-3-2

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