ScalingStacks

Corollary 3.3 . [01A1]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Corollary 3.3.

If φ1,…,φn−1\varphi_{1},\dots,\varphi_{n-1} are bounded θ\theta-psh functions on XX, then the bilinear form

(φ,ψ)↦∫(−φ)​d​dc​ψ∧(θ+d​dc​φ1)∧⋯∧(θ+d​dc​φn−1)(\varphi,\psi)\mapsto\int(-\varphi)\,dd^{c}\psi\wedge(\theta+dd^{c}\varphi_{1})\wedge\dots\wedge(\theta+dd^{c}\varphi_{n-1})

is well-defined and positive semidefinite on the vector space spanned by the set of bounded θ\theta-psh functions.

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.