Entropy numbers of certain summation operators.
Creutzig, J., Linde, W. (2001)
Georgian Mathematical Journal
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Creutzig, J., Linde, W. (2001)
Georgian Mathematical Journal
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Kühn, Thomas (2001)
Georgian Mathematical Journal
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Takagi, Taichiro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Soyoung Moon (2011)
Annales mathématiques Blaise Pascal
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We show that the amalgamated free products of two free groups over a cyclic subgroup admit amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on two generators.
Takashi Kimura (1998)
Commentationes Mathematicae Universitatis Carolinae
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Modifying Bowen's entropy, we introduce a new uniform entropy. We prove that the completion theorem for uniform entropy holds in the class of all metric spaces. However, the completion theorem for Bowen's entropy does not hold in the class of all totally bounded metric spaces.
Miroslav Katětov (1992)
Commentationes Mathematicae Universitatis Carolinae
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We describe a conceptual approach which provides a unified view of various entropy-like functionals on the class of semimetric spaces, endowed with a bounded measure. The entropy considered in the author’s previous articles is modified so as to assume finite values for a fairly wide class of spaces which fail to be totally bounded.