Abstract
In the first paragraph of this chapter we assume to have to do with Banach spaces having a basis, as is the case for separable Hilbert spaces or for most of all known concrete separable Banach spaces. Whenever this hypothesis is fulfilled we can draw conclusions on the approximation problem of compact linear operators by linear operators of finite rank.
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Reference
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Marti, J.T. (1969). Applications to the Theory of Banach Algebras. In: Introduction to the Theory of Bases. Springer Tracts in Natural Philosophy, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87140-5_8
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DOI: https://doi.org/10.1007/978-3-642-87140-5_8
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