Question

give an example of space which is not a normed space in functional analysis​

Answer 1

Answer:

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Step-by-step explanation:

DEFINITION A Banach space is a real normed linear space that is a complete metric space in the metric defined by its norm. ... If X is a normed linear space, x is an element of X, and δ is a positive number, then Bδ(x) is called the ball of radius δ around x, and is defined by Bδ(x) = {y ∈ X : y − x < δ}.