Pincherle Derivative
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High Quality Content by WIKIPEDIA articles! In mathematics, the Pincherle derivative of a linear operator scriptstyle{ T:mathbb K longrightarrow mathbb K } on the vector space of polynomials in the variable scriptstyle x over a field scriptstyle{ mathbb K} is another linear operator scriptstyle{ T':mathbb K longrightarrow mathbb K } defined as T' = [T,x] = Tx-xT = -operatorname{ad}(x)T,, so that T'{p(x)}=T{xp(x)}-xT{p(x)}qquadforall p(x)in mathbb{K}. In other words, Pincherle derivation is the commutator of scriptstyle{T} with the multiplication by scriptstyle x in the algebra of endomorphisms scriptstyle{ operatorname{End} left( mathbb K right) }.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130518097
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786130518097
- Format Fachbuch
- Titel Pincherle Derivative
- Herausgeber Betascript Publishing
- Anzahl Seiten 92
- Genre Mathematik
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