Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Quasi-invariant subspaces generated by polynomials with nonzero leading terms

100%

Guo K., Hou S.

Studia Mathematica

2004

tom 164

nr 3

231-241

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].

Ordered analytic Hilbert spaces over the unit disk

100%

Hou S., Wei S.

Studia Mathematica

2008

tom 185

nr 2

127-142

Let f, g be in the analytic function ring Hol(𝔻) over the unit disk 𝔻. We say that f ⪯ g if there exist M > 0 and 0 < r < 1 such that |f(z)| ≤ M|g(z)| whenever r < |z| < 1. Let X be a Hilbert space contained in Hol(𝔻). Then X is called an ordered Hilbert space if f ⪯ g and g ∈ X imply f ∈ X. In this note, we mainly study the connection between an ordered analytic Hilbert space and its reproducing kernel. We also consider when an invariant subspace of the whole space X is similar to X.

Ograniczanie wyników

2 Studia Mathematica

2 Hou S.

1 Guo K.

1 Wei S.

1 2008

1 2004

Wyniki wyszukiwania

Quasi-invariant subspaces generated by polynomials with nonzero leading terms

Ordered analytic Hilbert spaces over the unit disk