منابع مشابه
The Measure Algebra as an Operator Algebra
Introduction. In § I, it is shown that M(G)*, the space of bounded linear functionals on M(G), can be represented as a semigroup of bounded operators on M(G). Let A denote the non-zero multiplicative linear functionals on M(G) and let P be the norm closed linear span of A in M(G)*. In § II, it is shown that P , with the Arens multiplication, is a commutative J3*-algebra with identity. Thus P = ...
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What follows is propaganda for the study of a particular commutative Banach algebra, A one not inappropriate to a conference which emphasises automatic continuity. In fact A is that subalgebra of the measure algebra, .i\J(T), of all regular bounded Borel measures on the circle under the total variation norm and convolution multiplication, which is characterised by the automatic continuity of me...
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چکیده ندارد.
15 صفحه اولOn Dense Subsets of the Measure Algebra
We show that the minimal cardinality of a dense subset of the measure algebra is the same as the minimal cardinality of a base of the ideal of Lebesgue measure zero subsets of the real line. 0. Introduction. Let (F, <) be a given partial ordering. A subset D ç P is called dense if for any p g F there exists d g D such that d < p. A subset D is called upward dense if D is dense in (F, > ). Let A...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1989
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700004299