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The Breadth-one -invariant Polynomial Subspace
We demonstrate the equivalence of two classes of -invariant polynomial
subspaces introduced in [8] and [9], i.e., these two classes of subspaces are
different representations of the breadth-one -invariant subspace. Moreover,
we solve the discrete approximation problem in ideal interpolation for the
breadth-one -invariant subspace. Namely, we find the points, such that the
limiting space of the evaluation functionals at these points is the functional
space induced by the given -invariant subspace, as the evaluation points all
coalesce at one point
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