%0 Journal Article %A Fernando Galván, José Francisco %T Sums of squares in real analytic rings. %D 2002 %@ 0002-9947 %U https://hdl.handle.net/20.500.14352/57241 %X Let A be an analytic ring. We show:(1) A has finite Pythagoras number if and only if its real dimension is 2, and (2) if every positive semidefinite element of A is a sum of squares, then A is real and has real dimension 2. %~