Completely co-bounded Schur multipliers
نویسندگان
چکیده
منابع مشابه
Measurable Schur Multipliers and Completely Bounded Multipliers of the Fourier Algebras
Abstract. Let G be a locally compact group, L(G) be the usual Lspace for 1 ≤ p ≤ ∞ and A(G) be the Fourier algebra ofG. Our goal is to study, in a new abstract context, the completely bounded multipliers of A(G), which we denote McbA(G). We show that McbA(G) can be characterised as the “invariant part” of the space of (completely) bounded normal L∞(G)-bimodule maps on B(L(G)), the space of boun...
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Let D be a masa in B(H) where H is a separable Hilbert space. We find real numbers η0 < η1 < η2 < · · · < η6 so that for every bounded, normal D-bimodule map Φ on B(H), either ‖Φ‖ > η6 or ‖Φ‖ = ηk for some k ∈ {0, 1, 2, 3, 4, 5, 6}. When D is totally atomic, these maps are the idempotent Schur multipliers and we characterise those with norm ηk for 0 ≤ k ≤ 6. We also show that the Schur idempote...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2012
ISSN: 1846-3886
DOI: 10.7153/oam-06-18