Question
Show that if (h|h) = (hh) for all functions h (in Hilbert space), then (flg) = (flg) for all f and g (i.e., the
Show that if (h|h) = (h\h) for all functions h (in Hilbert space), then (flg) = (flg) for all f and g (i.e., the two definitions of "hermi- tian"-Equations 3.16 and 3.17-are equivalent). Hint: First let h = f+ 8, and then let h = f +ig. (SIF) = (FIS) for all f(x). [3.16] (FIg) = ( \g) for all f(x) and all g(x). [3.17]
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
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