Prompt

"Illustrate a stylized, abstract representation of the Banach–Steinhaus theorem, also known as the Uniform Boundedness Principle, using a minimalist approach with bold lines, simple shapes, and a muted color palette. Depict a bounded region in a Banach space, with a family of continuous linear operators converging to a point, surrounded by subtle hints of normed vector spaces and functional analysis concepts. Incorporate symbolic elements, such as a uniform boundedness graph or a boundedness 'net', to convey the theorem's core idea. Use a mix of geometric and algebraic visualizations to convey the connections to related mathematical concepts, including the Hahn–Banach theorem, Open mapping theorem, and Closed graph theorem."

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