:: deftheorem defines RLSp_AlmostZeroLpFunct LPSPACE2:def 5 :
for X being non empty set
for S being SigmaField of X
for M being sigma_Measure of S
for k being positive Real holds RLSp_AlmostZeroLpFunct (M,k) = RLSStruct(# (AlmostZeroLpFunctions (M,k)),(In ((0. (RLSp_LpFunct (M,k))),(AlmostZeroLpFunctions (M,k)))),(add| ((AlmostZeroLpFunctions (M,k)),(RLSp_LpFunct (M,k)))),(Mult_ (AlmostZeroLpFunctions (M,k))) #);