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Instead of dealing with vectors in 2D or 3D space, you are dealing with spaces of functions. It provides the mathematical bedrock for:
Rigorous treatment of the Hahn-Banach Theorem , the Open Mapping Theorem, and the Uniform Boundedness Principle .
Practical proof of the Gelfand-Neumark structure theorem . Pedagogical Approach
Instead of dealing with vectors in 2D or 3D space, you are dealing with spaces of functions. It provides the mathematical bedrock for:
Rigorous treatment of the Hahn-Banach Theorem , the Open Mapping Theorem, and the Uniform Boundedness Principle . functional analysis somasundaram pdf
Practical proof of the Gelfand-Neumark structure theorem . Pedagogical Approach Instead of dealing with vectors in 2D or