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... Definition Suppose X is a nonempty set. Then a function f : X → C is a bounded function if there exist a C < ∞ such that |f (x)| < C for all x ∈ X. The set of all bounded functions on X is usually denoted by B(X) ([?], pp. 61). Under standard point-wise addition and point-wise multiplication by a sc ...
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Bra–ket notation

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