On the functional inequality for the spectral radius of compact operators
Peperko, Aljoša
Elsner, Hershkowitz in Pinkus so karakterizirali funkcije ▫$F \colon {\mathbb R}_+^n \rightarrow {\mathbb R}_+$▫. ki zadoščajo neenakosti ▫$$r(F(A_1, \ldots ,A_n )) \le F(r(A_1), \ldots, r(A_n))$$▫ ...za vse nenegativne matrike ▫$A_1$▫, ▫$\ldots$▫, ▫$A_n$▫ enakega reda, kjer ▫$r$▫ označuje spektralni radij [L. Elsner, D. Hershkowitz and A. Pinkus, Functional inequalities for spectral radii of nonnegative matrices, Linear Algebra Appl. 129 (1990), 103--130]. V članku poslošujemo ta rezultat na neskončne nenegativne matrike, ki definirajo kompaktne operatorje na Banachovem prostoru zaporedij.
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