Some remarks on non-symmetric polarization

Let P:Cn→C be an m-homogeneous polynomial given by P(x)=∑1≤j1≤…≤jm≤ncj1…jmxj1…xjm. Defant and Schlüters defined a non-symmetric associated m-form LP:(Cn)m→C by LP(x(1),…,x(m))=∑1≤j1≤…≤jm≤ncj1…jmxj1 (1)…xjm (m). They estimated the norm of LP on (Cn,‖⋅‖)m by the norm of P on (Cn,‖⋅‖) times a (clog⁡n)m...

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Autor principal: Marceca, F.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v466_n2_p1486_Marceca
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