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A number of other books by Russian authors (cf. the one by Viro et al. from the Anton's answer) also come close to what you ask for. The two that came to my mind first are:

Theorems and problems in functional analysis by Kirillov and Gvishiani

Abel's theorem in problems and solutions by Alekseev (based on Arnol'd's lectures)

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A number of other Russian books by Russian authors also come close to what you ask for. The two that came to my mind first are:

Theorems and problems in functional analysis by Kirillov and Gvishiani

Abel's theorem in problems and solutions by Alekseev (based on Arnol'd's lectures)

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