Abstract
Let X and Y be Banach spaces. We denote by. ℒ(X, Y) the linear space of all (bounded and linear) operators from X to Y. We ℓ ∞(X, Y) ⊂ ℒ(X, Y) denote the collection of all compact operators from X into Y, and ℓ 0(X, Y) refers to the set of all finite-rank operators from X into Y, i.e., F is in ℓ 0(X, Y) if and only if F ∈ ℒ(X, Y) and dim F(X) < ∞. In the case X = Y we shall write ℒ(X) = ℒ(X, X), ℓ ∞(X) = ℓ ∞(X, X), ℓ 0(X) = ℓ 0(X, X).
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Böttcher, A., Silbermann, B. (1990). Auxiliary material. In: Analysis of Toeplitz Operators. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02652-6_1
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