Decomposition of ℓ-group-valued measures
نویسندگان
چکیده
منابع مشابه
Decomposition of group-valued measures on orthoalgebras
We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the ca...
متن کاملModes of Ideal Continuity of ( )-Group-Valued Measures
In this paper we deal with (ideal) continuity of lattice group-valued finitely additive measures, and prove some basic properties and comparison results. We investigate the relations between different modes of ideal continuity, and give some characterization. Finally we pose some open problems. Mathematics Subject Classification: Primary: 28A12, 28A33, 28B10, 28B15, 28C10, 40A35, 46G10. Seconda...
متن کاملRegularity of group valued Baire and Borel measures
It is known that a real valued measure (1) on the a-ring of Baire sets of a locally compact Hausdorff space, or (2) on the Borel sets of a complete separable metric space is regular. Recently Dinculeanu and Kluvanek used regularity of non-negative Baire measures to prove that any Baire measure with values in a locally convex Hausdorff topological vector space (TVS) is regular. Subsequently a di...
متن کاملCascade Realizations of Two-valued Input Multiple-Valued Output Functions using Decomposition of Group Functions
This paper considers a method to realize a two-valued input three-valued output function by using a cascade of four-input cells. Decomposition of a group function is used to find a canonical form. We show that the Walsh spectrum specifies the canonical form, and the number of non-zero coefficients in the spectrum is proportional to the number of cells in the cascade. Finally, we show an extensi...
متن کاملAMENABILITY OF VECTOR VALUED GROUP ALGEBRAS
The purpose of this article is to develop the notions of amenabilityfor vector valued group algebras. We prove that L1(G, A) is approximatelyweakly amenable where A is a unital separable Banach algebra. We givenecessary and sufficient conditions for the existence of a left invariant meanon L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).
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: Czechoslovak Mathematical Journal
سال: 2012
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-012-0065-y