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51.
Kazunori Kodaka Hiroyuki Osaka 《Proceedings of the American Mathematical Society》2001,129(4):999-1003
A -algebra is said to have the FS-property if the set of all self-adjoint elements in has a dense subset of elements with finite spectrum. We shall show that this property is not stable under taking the minimal -tensor products even in case of separable nuclear -algebras.
52.
The Tracial Topological Rank of C*-Algebras 总被引:11,自引:0,他引:11
We introduce the notion of tracial topological rank for C*-algebras.In the commutative case, this notion coincides with the coveringdimension. Inductive limits of C*-algebrasof the form PMn(C(X))P,where X is a compact metric space with dim X k, and P is aprojection in Mn(C(X)), have tracial topological rank no morethan k. Non-nuclear C*-algebras can have small tracial topologicalrank. It is shown that if A is a simple unital C*-algebra withtracial topological rank k (< ), then
- (i) A is quasidiagonal,
- (ii) A has stable rank 1,
- (iii) A has weakly unperforatedK0(A),
- (iv) A has the following Fundamental Comparabilityof Blackadar:if p, q A are two projections with (p) < (q)for all tracialstates on A, then p q
- (ii) A has stable rank 1,
53.
54.
Indium-tin oxide (ITO) films deposited on heated and non-heated glass substrates by a pulsed Nd:YAG laser at 355 nm and ∼2.5 J/cm2 were used in the fabrication of simple organic light-emitting diodes (OLEDs), ITO/(PVK + Alq3 + TPD)/Al. The ITO was deposited on heated glass substrates which possessed resistivity as low as ∼3 × 10−4 Ω cm, optical transmission as high as ∼92% and carrier concentration of about ∼5 × 1020 cm−3, were comparable to the commercial ITO. Substrate heating transformed the ITO microstructure from amorphous to polycrystalline, as revealed by the XRD spectrum. While the polycrystalline ITO produced higher OLED brightness, it was still lower than that on the commercial ITO due to surface roughness. A DLC layer of ∼1.5 nm deposited on this ITO at laser fluence of >12.5 J/cm2 improved its device brightness by suppressing the surface roughness effect. 相似文献
55.
Antonio Martí nez-Abejó n 《Proceedings of the American Mathematical Society》1999,127(5):1397-1398
We give an elementary proof of the principle of local reflexivity.
56.
57.
Miguel Martín 《Mathematische Nachrichten》2008,281(3):376-385
A Banach space X is said to have the alternative Daugavet property if for every (bounded and linear) rank‐one operator T: X → X there exists a modulus one scalar ω such that ∥Id+ωT ∥ = 1 + ∥T ∥. We give geometric characterizations of this property in the setting of C *‐algebras, JB *‐triples, and of their isometric preduals. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
58.
59.
本文研究了带有Radon-Nikodym导数的算子值自由Fisher信息量.利用模框架理论,得到了一个半圆元和一个子代数之间的合并自由关系,推广了D.Voiculescu等人的工作. 相似文献
60.
Bangteng Xu 《Journal of Algebraic Combinatorics》2008,27(2):127-141
Sunder and Wildberger (J. Algebr. Comb.
18, 135–151, 2003) introduced the notion of actions of finite hypergroups, and studied maximal irreducible actions and *-actions. One of the
main results of Sunder and Wildberger states that if a finite hypergroup K admits an irreducible action which is both a maximal action and a *-action, then K arises from an association scheme. In this paper we will first show that an irreducible maximal action must be a *-action,
and hence improve Sunder and Wildberger’s result (Theorem 2.9). Another important type of actions is the so-called w-maximal actions. For a w-maximal action π:K→Aff (X), we will prove that π is faithful and |X|≥|K|, and |K| is the best possible lower bound of |X|. We will also discuss the strong connectivity of the digraphs induced by a w-maximal action. 相似文献