Norm One Idempotent <i>cb</i>-Multipliers with Applications to the Fourier Algebra in the <i>cb</i>-Multiplier Norm
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Bibliographic record
Abstract
Abstract For a locally compact group G , let A ( G ) be its Fourier algebra, let M cb A ( G ) denote the completely bounded multipliers of A ( G ), and let A Mcb ( G ) stand for the closure of A ( G ) in M cb A ( G ). We characterize the norm one idempotents in M cb A ( G ): the indicator function of a set E ⊂ G is a norm one idempotent in M cb A ( G ) if and only if E is a coset of an open subgroup of G . As applications, we describe the closed ideals of A Mcb ( G ) with an approximate identity bounded by 1, and we characterize those G for which A Mcb ( G ) is 1-amenable in the sense of B. E. Johnson. (We can even slightly relax the norm bounds.)
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 0.008 |
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