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On Commutators in Properly Infinite W*-Algebras,Let M be an algebra. An element xεM is said to be a commutator if there are a,bεM such that x=ab−ba.intangibility 发表于 2025-3-27 23:42:04
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The Stone-Weierstrass Problem for C*-Algebras,en B=A. If M is the set of maximal modular left ideals of A together with A itself, then the original Stone-Weierstrass theorem can be stated as follows. If A is abelian and B separates M (i.e. for I, JεM, I=J if and only if I⋂B=J⋂B), then B=A. The general Stone-Weierstrass problem, which remains un水土 发表于 2025-3-28 11:57:09
On the Norm-Closure of the Similarity Orbit of Essentially Nilpotent Operators,rrero, , raised the problem of characterizing . (T)., the norm-closure of . (T), in terms of the spectral properties of T. The problem is still open for essentially nilpotent operators. If T is an essentially nilpotent operator, we do not know which are the natural necessary conditions, for . to