This invaluable reference is the first to present the general theory of algebras of operators on
a Hilbert space, and the modules over such algebras. The new theory of operator spaces is …

The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots
are in locally compact groups and group representations, but it requires a considerable …

For locally compact groups G and H let A (G) denote the Fourier algebra of G and B (H) the
Fourier–Stieltjes algebra of H. Any continuous piecewise affine map α: Y⊂ H→ G (where Y …

In the first part of the paper, we present a short survey of the theory of multipliers, or double
centralisers, of Banach algebras and completely contractive Banach algebras. Our approach …

We introduce multidimensional Schur multipliers and characterise them, generalising well-
known results by Grothendieck and Peller. We define a multidimensional version of the two …

Let M be a von Neumann algebra equipped with a normal semi-finite faithful trace (nsf trace
in short) and let T: M→ M be a contraction. We say that T is absolutely dilatable if there exist …

Consider three normal operators A, B, C on a separable Hilbert space H as well as scalar-
valued spectral measures λA on σ (A), λB on σ (B) and λC on σ (C). For any φ∈ L∞(λA× λB× …

We show that any completely positive multiplier of the convolution algebra of the dual of an
operator algebraic quantum group 𝔾 (either a locally compact quantum group, or a quantum …

Dilations of Markovian semigroups of measurable Schur multipliers Page 1 Canad. J. Math.
2023, pp. 1–24 http://dx.doi.org/10.4153/S0008414X23000214 © The Author(s), 2023 …

Let $ G $ be a locally compact group. It is shown that there exists a natural completely
isometric representation of the completely bounded Fourier multiplier algebra $ M_ {cb} A …