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Finally, all the corresponding results for a Fock space with any, at most countable, multiplicity are given.
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In general, nothing need be assumed about this set; in what follows, I will assume that E is at most countable, that is, that there are at most countably many evidence items.
We apply again [35], Theorem IV.5.33] stating that if Σ ess ( A ) is at most countable, any point in Σ ( A ) ∖ Σ ess ( A ) is an isolated eigenvalue with finite multiplicity.
Therefore, is at most countable.
Σ ( A ) is at most countable.
Then (T_{mathrm{extr}}) is at most countable.
The set of all nonzero eigenvalues coincides with the at most countable set (Lambda').
Let ({ G_{k}, k=1,2,ldots}) be at most countable collection of unbounded open subsets of ((0, infty)).
Since V is one-to-one mapping on W, W is at most countable.
Therefore, its zeros form an at most countable set without finite limit points.
The set of right-scattered points of (mathbb{T}) is at most countable; see [16].
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