Let B be a dense *-subalgebra of a C*-algebra (A, || ||0) and a Banach ..... dense subalgebra D(F) of A into a normed space (//,||||H) and let there exist D^O such ...
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a dense, nuclear Fréchet subalgebra O2 of the Cuntz algebra. O2. We prove the ... In this paper, we seek not just a dense subalgebra of smooth functions of ...
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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 ...
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Stone–Weierstrass theorem - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Stone%E2%80%93Weierstrass_theorem
He wants to find subalgebras of C(X,R) which are dense. It turns out that the crucial property that a subalgebra must satisfy is that it separates points: a set A of ... |
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Nov 27, 1992 ... Abstract: Let A be a dense Frechet *-subalgebra of a C*-algebra B. (We do not require Frechet algebras to be m-convex.) Let G be a Lie group, ...
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containing a weak-∗ dense subalgebra of compact operators has a unique Banach space predual. 1. Introduction. A famous theorem of Sakai [21] showed that ...
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we define a dense Fréchet *-subalgebra Gσ A of the crossed product L1(G, B). .... appropriate notion of a tempered action of G on the dense subalgebra A, much ...
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is a dense subalgebra of A. This result was known for the sequentially monotone closed 0*-algebras [4]. In Corollary 8 we apply these results to ideals in ...
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to a Stone algebra whose center is Β and whose dense set is D. Conversely, given a. Stone algebra with dense set D and center Β, there is a natural ...
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Page 4 - From this we deduce the continuity of a homomorphism from a Banach algebra onto a dense subalgebra of a strongly semisimple unital Banach ...
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