Commutators in the two-weight setting
نویسندگان
چکیده
منابع مشابه
A Natural Linear Ordering of Basic Commutators
The basic commutators derived from the generators of a free group were introduced by Philip Hall and studied extensively by Marshall Hall, Jr. There exists a natural linear ordering for these commutators. It is the purpose of this paper to show that this ordering is, in a certain sense, invariant under "multiplication," i.e., under the process of forming the commutator with the same basic commu...
متن کاملVersion of 10-18-2001 BASIC COMMUTATORS AS RELATORS
Charles Sims, [7] has asked whether or not the lower central subgroup γn(F ) of a free group F coincides with the normal closure in F of the set of basic commutators of weight n. Here, we investigate variations of this question where we consider other varieties or other sets of commutators. We also give brief new proofs that this question has a positive answer in the previously known cases for ...
متن کاملOn Commutators of Isometries and Hyponormal Operators
A sufficient condition is obtained for two isometries to be unitarily equivalent. Also, a new class of M-hyponormal operator is constructed
متن کاملSelf-commutators of composition operators with monomial symbols on the Bergman space
Let $varphi(z)=z^m, z in mathbb{U}$, for some positive integer $m$, and $C_varphi$ be the composition operator on the Bergman space $mathcal{A}^2$ induced by $varphi$. In this article, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators $C^*_varphi C_varphi, C_varphi C^*_varphi$ as well as self-commutator and anti-self-commutators of $C_...
متن کاملSpecial Subgroups of Gyrogroups: Commutators, Nuclei and Radical
A gyrogroup is a nonassociative group-like structure modelled on the space of relativistically admissible velocities with a binary operation given by Einstein's velocity addition law. In this article, we present a few of groups sitting inside a gyrogroup G, including the commutator subgyrogroup, the left nucleus, and the radical of G. The normal closure of the commutator subgyr...
متن کامل