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A Bounded Plurisubharmonic Function Which is not an Infinite Sum of Continuous Plurisubharmonic Functions

✍ Scribed by SŁawomir KoŁodziej

Book ID
110298513
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
32 KB
Volume
15
Category
Article
ISSN
0926-2601

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✍ Konrad Schmüdgen 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB

In 1888 D. HILBERT showed the existence of a real polynomial in two variables of sixth degree which is non-negative on the real plane without being a finite sum of squares of polynomials ([2]; see e.g. [l]). The existence of such polynomials has important consequences in the theory of unbounded oper