Noncommutative Poisson transforms are employed to show that each abstract domain has a universal model consisting of multiplication operators (M (Z1), . . . , M (Z n) ) acting on a Hilbert space of formal power series. We provide a Beurling type characterization of all joint invariant ...
摘要: We establish very general criteria for the existence of multiplication operators between noncommutative Orlicz spaces L0 and L1. We then show that these criteria contain existing results, before going on to briefly look at the extent to which the theory of multipliers on Orlicz spaces differs...
1Introduction By a well-known procedure, usually referred to as “taking the classical limit”, quantum systems become classical systems, equipped with a Hamiltonian structure (symplectic or Poisson). Dirac [8] observed that Heisenberg’s noncommutative multiplication of operators in a quantum algebra[...
We establish very general criteria for the existence of multiplication operators between noncommutative Orlicz spaces $L^{\psi_0}(\tM)$ and $L^{\psi_1}(\tM)$. We then show that these criteria contain existing results, before going on to briefly look at t
Here we give an interpretation of Solomon's rule for multiplication in the descent algebra of Coxeter groups of typeD, ΣDn. We describe an ideal I such th... BSV Willigenburg - 《Journal of Algebra》 被引量: 18发表: 1998年 Unitary representations of the hyperfinite Heisenberg group and ...
The algebra A H α is obtained by twisting the multiplication of H with the most general two-cocycle σ formally cohomologous to α. The cocycle σ takes values in the field of rational functions on H. By construction, A H α is a cleft H-Galois extension of a "big" commutative ...
We introduce new $\\kappa$-star product describing the multiplication of quantized $\\kappa$-deformed free fields. The $\\kappa$-deformation of local free ... M Daszkiewicz,J Lukierski,M Woronowicz - 《Physical Review D》 被引量: 135发表: 2007年 ...
Hence, pointwise multiplication then simply becomes matrix multiplication, and the involution is given by hermitian conjugation. If \(\phi : X_1 \rightarrow X_2\) is a map of finite discrete spaces, then there is a corresponding map from \(C(X_2) \rightarrow C(X_1)\) given by pull...
However, the right action of (λ,a)∈A is given by scalar multiplication with λ on all of H2. The real structure: Before turning to the finite Dirac operator D, we exploit the presence of a real structure J:H→H in the diagrammatic approach started above. Exercise 3.6 Let J be an ...
Multiplication modules over non-commutative rings A. Multiplication modules over noncommutative rings. Sbornik: Mathematics. 194 (2003), 1837-1864.Tuganbaev,A. A.Multiplication modules over noncommutative ... AA Tuganbaev - 《Russian Academy of Sciences Sbornik Mathematics》 被引量: 21发表: 2013年...