Then X is AMNM if and only if [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
left arrow]) Suppose X is not AMNM and let [epsilon] [member of] [R.
Lei X be a standard AMNM Banach algebra and let f [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
Next we investigate whether the AMNM property is preserved from nonstandard hull to algebra and conversely.
delta](epsilon]/2), where 5([epsilon]/2) is a positive real number corresponding to e/2 in the definition of AMNM for X.