Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded point evaluation for operators with the wandering subspace
  property   We extend and study the notion of bounded point evaluation introduced by
Williams for a cyclic operator to the class of operators with the wandering
subspace property. We characterize the set $bpe(T)$ of all bounded point
evaluations for an operator $T$ with the wandering subspace property in terms
of the invertibility of certain projections. This result generalizes the
earlier established characterization of $bpe(T)$ for a finitely cyclic operator
$T$. Further, if $T$ is a left-invertible operator with the wandering subspace
property, then we determine the $bpe(T)$ and the set $abpe(T)$ of all analytic
bounded point evaluations for $T$. We also give examples of left-invertible
operator $T$ with the wandering subspace property for which $\mathbb D\big(0,
r(T')^{-1}\big) \subsetneqq abpe(T) \subseteq bpe(T)$, where $r(T')$ is the
spectral radius of the Cauchy dual $T'$ of $T$.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an