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Sums of squares in real analytic rings |
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| Authors: | José F Fernando |
| Institution: | Departamento Algebra, Facultad Ciencias Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain |
| Abstract: | Let  be an analytic ring. We show: (1)  has finite Pythagoras number if and only if its real dimension is  , and (2) if every positive semidefinite element of  is a sum of squares, then  is real and has real dimension  . |
| Keywords: | Analytic ring positive semidefinite element sum of squares Pythagoras number |
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