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Currently displaying 1 – 3 of 3

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A simple proof of the Weierstrass-Stone theorem

J. Zemánek — 1978

Commentationes Mathematicae

The article contains no abstract

On Uniform Continuity of the Spectral Radius in Banach Algebras.

V. Pták; J. Zemánek — 1977

Manuscripta mathematica

Precompactness in the uniform ergodic theory

Yu. Lyubich; J. Zemánek — 1994

Studia Mathematica

We characterize the Banach space operators T whose arithmetic means ${n^{- 1} (I + T + . . . + T^{n - 1})}_{n \geq 1}$ form a precompact set in the operator norm topology. This occurs if and only if the sequence ${n^{- 1} T^{n}}_{n \geq 1}$ is precompact and the point 1 is at most a simple pole of the resolvent of T. Equivalent geometric conditions are also obtained.

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