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On the spectrum of the C*-algebra of fourier multipliers in a cone

โœ Scribed by A. Yu. Kokotov


Publisher
Springer US
Year
1994
Tongue
English
Weight
893 KB
Volume
72
Category
Article
ISSN
1573-8795

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Let A be a separable C\*-algebra and let M loc (A) be the local multiplier algebra of A. It is shown that every minimal closed prime ideal of M loc (A) is primitive. If Prim(A) has a dense G $ consisting of closed points (for instance, if Prim(A) is a T 1 -space) and A is unital, then M loc (A) is i

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Let L be a linear transformation on a finite dimensional real Hilbert space H and K be a closed convex cone with dual K \* in H. The cone spectrum of L relative to K is the set of all real ฮป for which the linear complementarity problem x โˆˆ K, y = L(x) -ฮปx โˆˆ K \* , and x, y = 0 admits a nonzero solu