Basic Results from the Post-Banach Period
Since this is a book about history, it was my intention to present the subjects in chronological order. On the other hand, intrinsic connections are more important. Thus the interval from 1932 to 1958 that, by definition, is called the post-Banach period (see p. xix) should not be taken as a dogma. This remark is supposed to justify the fact that the present chapter contains many results that were obtained much later. A typical example is Rosenthal’s l1-theorem; though proved only in 1974, its roots go back to Banach’s monograph. In connection with bases, I have also presented the theory of wavelets, which was founded in the 1980s.
KeywordsBanach Space Approximation Property Banach Lattice Fredholm Operator Separable Banach Space
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