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Si considera uno spazio di Hilbert reale continuamente immerso in dove è uno spazio misurato qualunque. Sia una forma bilineare continua coercitiva su ; son provati i due teoremi seguenti: se è una forma di Dirichlet, allora tutte le contrazioni reali convesse su , concave su operano su (cfr. [1] e [4] per le definizioni); se di più, la forma trasposta è, anch’essa di Dirichlet, allora tutte le contrazioni operano su (ed ).
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