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On Riesz summability of continuous functions from Nikol’skij classes with a mixed norm. (Russian) Zbl 1050.47034

For a continuous function from a Nikol’skij class with a mixed norm, the author proves that the Riesz averages of the spectral decomposition of a function converge uniformly on compacts to the function itself.

MSC:

47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
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