In this paper we prove the following theorem: let G be a discrete amenable group with nontrivial almost-periodic compactification, and let F be a complex-valued function defined in [-1, 1]; then F ...

Many physical platforms, including photons, ions, atoms, solid state and superconducting devices, and nuclear magnetic resonance 1, are being explored with the view of constructing a quantum computer.

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

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