In this paper our aim is to expound the importance of Non-Baire Proof of Uniform Boundedness theorem. We know that Baires Category Theorem is directly applied to prove Uniform Boundedness Theorem. We present here, a proof of the Uniform Boundedness Theorem that does not require the Baires Theorem in a similar fashion as proved by Alan D Sokal [1] but in a slightly different way.
Key words: Uniform Boundedness, Open Mapping, Closed Graph.
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