狗舍 发表于 2025-3-26 23:47:34
Berezin-Toeplitz Quantizationtroduced in a series of papers by F. A. Berezin . Subsequently, C. A. Berger and I undertook a detailed analytic study of Berezin’s operators in order to find an analog of the classical symbol calculus of pseudo-differential operators. In a series of papers , we dissected玩笑 发表于 2025-3-27 01:15:50
Normal Elements of a Simple C*-Algebrae following elementary invariants: the spectrum of the element, the measure on its spectrum arising from each trace (or quasitrace) on the algebra, the K.-class of the spectral projection associated to each compact component of the spectrum together with the information whether the sum of these proj虚情假意 发表于 2025-3-27 07:07:09
http://reply.papertrans.cn/16/1527/152675/152675_33.pngWAIL 发表于 2025-3-27 11:55:49
The Generalized Weyl-von Neumann Theorem and C*-algebra Extensionsare unital and the surjective map from . to . is also unital. Furthermore, we assume that extensions are essential, i.e. . may be viewed as an essential ideal of .. The .-theory classifies those extensions when . = . and . = .(.), where . is the .*-algebra of compact operators on an infinite dimensiConquest 发表于 2025-3-27 17:00:52
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On the Commutant Lifting Theorem and Hankel OperatorsIn this note we give another proof of the commutant lifting theorem (see) and ), based on the Adamjan-Arov-Krein techniques introduced in . We then apply the construction given in Theorem 1 below to obtain a generalization of a result in (see also ).量被毁坏 发表于 2025-3-28 12:52:09
Elementary operators and subalgebrasIn this note, we construct an elementary operator on .(.) of length two which leaves invariant a nontrivial triangular subalgebra of .(.) but which cannot be written as a finite sum of elementary operators of length one that each leave the triangular subalgebra invariant.