TWO ASPECTS OF THE RELATIVE /l-INVARIANT
نویسنده
چکیده
Let p be any prime number. Let ZP and Qp denote respectively the /?-adic integer ring and the p-adic number field. The additive groups of these will be denoted by the same letters. We suppose that all algebraic number fields considered in this paper lie in the complex number field C. For each algebraic number field F, let A(F) denote the /^-primary component of the ideal class group of F, F the maximal unramified abelian /^-extension over F, X{F) the Galois group of F over F, and FK the composite of F and the unique /^-extension over the rational number field Q. Let / be the Galois group of C over the real number field and j the complex conjugation of C; / = {1,/}. We put, for any (multiplicative) abelian group M acted on by / ,
منابع مشابه
Characterizations of amenable hypergroups
Let $K$ be a locally compact hypergroup with left Haar measure and let $L^1(K)$ be the complex Lebesgue space associated with it. Let $L^infty(K)$ be the dual of $L^1(K)$. The purpose of this paper is to present some necessary and sufficient conditions for $L^infty(K)^*$ to have a topologically left invariant mean. Some characterizations of amenable hypergroups are given.
متن کاملPerturbation bounds for $g$-inverses with respect to the unitarily invariant norm
Let complex matrices $A$ and $B$ have the same sizes. Using the singular value decomposition, we characterize the $g$-inverse $B^{(1)}$ of $B$ such that the distance between a given $g$-inverse of $A$ and the set of all $g$-inverses of the matrix $B$ reaches minimum under the unitarily invariant norm. With this result, we derive additive and multiplicative perturbation bounds of the nearest per...
متن کاملComparison of Two Flow Cytometric Methods for Detection of Human Invariant Natural Killer T Cells (iNKT)
Background: Invariant natural killer cells (iNKT) are an important immunoregulatory T cell subset. Currently several flow cytometry-based approaches exist for the identifi-cation of iNKT cells, which rely on using the 6B11 monoclonal antibody or a combina-tion of anti-Vα24 and anti-Vβ11 antibodies. Objective: The aim of this study was to compare the ability of two flow cytometry-based methods f...
متن کاملOplus-supplemented modules with respect to images of a fully invariant submodule
Lifting modules and their various generalizations as some main concepts in module theory have been studied and investigated extensively in recent decades. Some authors tried to present some homological aspects of lifting modules and -supplemented modules. In this work, we shall present a homological approach to -supplemented modules via fully invariant submodules. Lifting modules and H-suppleme...
متن کاملShift Invariant Spaces and Shift Preserving Operators on Locally Compact Abelian Groups
We investigate shift invariant subspaces of $L^2(G)$, where $G$ is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group $G$ we prove a useful Hilbert space isomorphism, introduce range funct...
متن کاملOn the two-wavelet localization operators on homogeneous spaces with relatively invariant measures
In the present paper, we introduce the two-wavelet localization operator for the square integrable representation of a homogeneous space with respect to a relatively invariant measure. We show that it is a bounded linear operator. We investigate some properties of the two-wavelet localization operator and show that it is a compact operator and is contained in a...
متن کامل