Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lax-Halmos Type Theorems in H^p Spaces   In this paper we characterize for 0 < p \leq \infty, the closed subspaces of
Hp that are invariant under multiplication by all powers of a finite Blaschke
factor B, except the first power. Our result clearly generalizes the invariant
subspace theorem obtained by Paulsen and Singh [9] which has proved to be the
starting point of important work on constrained Nevanlinna-Pick interpolation.
Our method of proof can also be readily adapted to the case where the subspace
is invariant under all positive powers of B (z). The two results are in the
mould of the classical Lax-Halmos Theorem and can be said to be Lax-Halmos type
results in the finitre multiplicity case for two commuting shifts and for a
single shift respectively.

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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga