Example: air traffic controller
2. Banach spaces
The proof is practically identical to the proof for Hilbert spaces. Define B ... Linear operators ... T ∶X →Y is continuous if and only if it is bounded (we proved it in Chapter 1, but the theorem was for general normed space). We denote the space of bounded linear operators from X to Y by B(X ;Y ). It is made into a vector space over C
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