Functional Analysis, in its most fundamental and linear form, is the study of operators on infinite dimensional linear spaces. In his 1920 thesis and then, in a more comprehensive version, in his 1932 treatise, Banach, building on the work of many others, devised a beautiful framework for this endeavour. Soon Banach spaces became an established concept, and Functional Analysis quickly evolved into one of the cornerstones of 20th century mathematics
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