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Some norm one functions of the Volterra operator

In: Mathematica Slovaca, vol. 65, no. 6
L. Khadkhuu - D. Tsedenbayar
Detaily:
Rok, strany: 2015, 1505 - 1508
Kľúčové slová:
Volterra operator, power-bounded operator, accretive operator
O článku:
Let $B$ be an accretive operator on a complex Hilbert space and let $V$ be the classical Volterra operator on $L2(0,1)$. We study a contraction property for $(I-mB)(I+B)-1$, $m\in \mathbb{R}$. In particular, we show that $|(I-mV)(I+V)-1|=1$ only for $m\in [-1,1]$.
Ako citovať:
ISO 690:
Khadkhuu, L., Tsedenbayar, D. 2015. Some norm one functions of the Volterra operator. In Mathematica Slovaca, vol. 65, no.6, pp. 1505-1508. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0102

APA:
Khadkhuu, L., Tsedenbayar, D. (2015). Some norm one functions of the Volterra operator. Mathematica Slovaca, 65(6), 1505-1508. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0102
O vydaní:
Publikované: 1. 12. 2015