On sequences of compact operators (in Ukrainain) |
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| Author |
Lviv University, Deptartment of Mechanics and Mathematics
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| Abstract |
A uniform convergence to the zero of a sequence
$\{A_nT\}$, where $T$ is a compact operator and
$\{A_n\}$ a sequence of linear bounded operators pointwise converging
to the zero, is proved in Banach spaces.
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| Keywords |
uniform convergence, compact operator, sequence of linear bounded operators, pointwise convergence, Banach spaces
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| DOI |
doi:10.30970/ms.8.1.111-112
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Reference |
1. A. Kondratyuk, S. Tarasyuk, Compact operators and normal families of subharmonic functions // Proc. of the conf. Func. Spaces, Diff. Operators and Nonlinear Analysis, Prague, Mathematical Institite Acad. Sci. Czech Republic, Prague, 1996, P.227–231.
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| Pages |
111-112
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| Volume |
8
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| Issue |
1
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| Year |
1997
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| Journal |
Matematychni Studii
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| Full text of paper | |
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