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The conference on Functional Analysis and Its Applications took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach f{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.