Web Reference: Functional analysis helps us study and solve both linear and nonlinear problems posed on a normed space that is no longer finite-dimensional, a situation that arises very naturally in many concrete problems. 2.7 Definition Functional analysis (ordinary, as opposed to p-adic) is concerned with topo-logical vector spaces over R or C and continuous maps between them. Linear functional analysis considers only linear maps. The book provides a comprehensive introduction to the essential topics of Functional Analysis across the first seven chapters, with a particular emphasis on normed vector spaces, Banach spaces, and continuous linear operators.
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