I've been looking for a symbol which could be used to represent an Isometric Isomorphism between two normed spaces. Reading many books or PDF's, I noticed that authors use different symbols for it such that:
$\longrightarrow{\sim}$ = \longrightarrow{\sim}
(the red symbol is not recognized by stackexchange.com)
$\overline{\approx}$ = \overline{\approx}
$\simeq$ = \simeq
$\cong$ = \cong
Does exist an agreement in the symbol for an Isometric Isomorphism?.
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$\begingroup$How about $\cong $. It seems to work in these types of situations... or maybe ~. I doubt there's much concern about this. One would also quite likely just write $=$, when there's no confusion. ..
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