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- W1489572851 abstract "This chapter discusses the approximation property that already appeared in Banach's book plays a fundamental role in the structure theory of Banach spaces. The first systematic study of the variants of the approximation property was initiated by Grothendieck in 1955. There is a chain of approximation properties in between the standard ones. The various counter-examples are described, and it is also seen how they fit into the theory without giving the details of their constructions. There is a rich theory, surrounding the approximation property for Banach spaces, and the counter-examples merely explain the delicate nature of the relationships between the various properties. It is shown that a Banach space has the bounded approximation property if it is a complemented subspace of a Banach space with a basis." @default.
- W1489572851 created "2016-06-24" @default.
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- W1489572851 date "2001-01-01" @default.
- W1489572851 modified "2023-10-14" @default.
- W1489572851 title "Approximation Properties" @default.
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- W1489572851 doi "https://doi.org/10.1016/s1874-5849(01)80009-7" @default.
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