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Currently displaying 1 – 3 of 3

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Espaces de Dirichlet et capacités fonctionnelles sur des triplets de Hilbert Schmidt

Philippe Paclet

Séminaire Paul Krée

Formes de Dirichlet non symétriques et contractions normales

Philippe Paclet — 1978

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si considera uno spazio di Hilbert reale $H$ continuamente immerso in $L^{2}(X,m)$ dove $(X,m)$ è uno spazio misurato qualunque. Sia $a$ una forma bilineare continua coercitiva su $H$ ; son provati i due teoremi seguenti: se $a$ è una forma di Dirichlet, allora tutte le contrazioni reali convesse su $\mathbf{R}^{-}$ , concave su $\mathbf{R}^{+}$ operano su $a$ (cfr. [1] e [4] per le definizioni); se di più, la forma trasposta $\hat{a}$ è, anch’essa di Dirichlet, allora tutte le contrazioni operano su $a$ (ed $\hat{a}$ ).

On the permutations generated by cyclic shift.

Legendre, Stéphane; Paclet, Philippe — 2011

Journal of Integer Sequences [electronic only]

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