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11.2: Operadores normales
https://espanol.libretexts.org/Matematicas/Algebra_lineal/Libro%3A_%C3%81lgebra_lineal_(Schilling%2C_Nachtergaele_y_Lankham)/11%3A_El_teorema_espectral_para_mapas_lineales_normales/11.02%3A_Operadores_normales
\ begin {ecuation*} \ begin {split} \ text { $T$ es normal} &\ Longleftrightarrow T^*T-TT^* =0\ &\ Longleftrightarrow\ inner {(T^*T-TT^*) v} {v} = 0,\ quad\ text {para todos $v\in V$ }\\ &\ Longleftri...\ begin {ecuation*} \ begin {split} \ text { $T$ es normal} &\ Longleftrightarrow T^*T-TT^* =0\ &\ Longleftrightarrow\ inner {(T^*T-TT^*) v} {v} = 0,\ quad\ text {para todos $v\in V$ }\\ &\ Longleftrightarrow\ inner {TT^* v} {v} =\ interior {T^*T v} {v},\ quad\ text {para todos $v\in V$ }\\ &\ Longleftrightarrow\ norm {Tv} ^2 =\ norm {t^*v} ^2,\ quad\ text {para todos $v\in V$ .} \ end {split} \ end {ecuación*}

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