Kunyu Guo, Shengzhao Hou
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 exist
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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 exist
Key concepts: Mathematics, Linear subspace, Subspace topology, Invariant subspace, Invariant (physics), Invariant subspace problem, Pure mathematics, Invariant polynomial