[Math] Which symbol is used to represent an isometric isomorphism between two normed spaces

banach-spacesfunctional-analysisnotation

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?.

Best Answer

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. ..

Related Question