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On the functional inequality for the spectral radius of compact operatorsPeperko, AljošaElsner, 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.Source: Linear and Multilinear Algebra. - ISSN 0308-1087 (Vol. 59, iss. 4, 2011, str. 357-364)Type of material - article, component partPublish date - 2011Language - englishCOBISS.SI-ID - 15879513
Author
Peperko, Aljoša
Topics
matematika |
teorija operatorjev |
spektralni radij |
neenakosti |
neskončne nenegativne matrike |
kompaktni operatorji |
pozitivni operatorji |
Hadamardov produkt |
Schurov produkt |
Banachovi prostori zaporedij |
Banachovi funkcijski prostori |
mathematics |
operator theory |
spectral radius |
inequalities |
infinite non-negative matrices |
compact operators |
positive operators |
Hadamard product |
Schur product |
Banach sequence spaces |
Banach function spaces
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Peperko, Aljoša | 24328 |
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