Commutants of weighted shift directed graph operator algebras
نویسندگان
چکیده
منابع مشابه
Commutants of Weighted Shift Directed Graph Operator Algebras
We consider non-selfadjoint operator algebras L(G,λ) generated by weighted creation operators on the Fock-Hilbert spaces of countable directed graphs G. These algebras may be viewed as noncommutative generalizations of weighted Bergman space algebras, or as weighted versions of the free semigroupoid algebras of directed graphs. A complete description of the commutant is obtained together with b...
متن کاملClosed Commutants of the Backward Shift Operator
We characterize the closed operators with domain contained in the Hardy space H 2 that commute with the backward shift. Also, we give necessary and suucient conditions for such an operator to be a Toeplitz operator with symbol the complex conjugate of a function in H 2. In particular, we show that this fact depends only on the domain. Introduction. Let F be a function in the Hardy space of the ...
متن کاملRelative annihilators and relative commutants in non-selfadjoint operator algebras
We extend von Neumann’s Double Commutant Theorem to the setting of nonselfadjoint operator algebras A, while restricting the notion of commutants of a subset S of A to those operators in A which commute with every operator in S. If A is a completely distributive commutative subspace lattice algebra acting on a Hilbert space H, we obtain an alternate characterization (to those of Erdos–Power and...
متن کاملCommutants of the Pommiez operator
The Pommiez operator (∆ f )(z) = ( f (z)− f (0))/z is considered in the space (G) of the holomorphic functions in an arbitrary finite Runge domain G. A new proof of a representation formula of Linchuk of the commutant of ∆ in (G) is given. The main result is a representation formula of the commutant of the Pommiez operator in an arbitrary invariant hyperplane of (G). It uses an explicit convolu...
متن کاملUniversal Operator Algebras of Directed Graphs
Given a directed graph, there exists a universal operator algebra and universal C∗-algebra associated to the directed graph. For finite graphs this algebra decomposes as the universal free product of some building block operator algebras. For countable directed graphs, the universal operator algebras arise as direct limits of operator algebras of finite subgraphs. Finally, a method for computin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2017
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13477