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Local Properties of Ternary Rings of Operators and Their Linking C *-Algebras

โœ Scribed by Manmohan Kaur; Zhong-Jin Ruan

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
358 KB
Volume
195
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

We show that some local properties (such as nuclearity, exactness, and local reflexivity) of ternary rings of operators (TROs) are closely related to the local properties of their linking C n -algebras. We also show some equivalent conditions for nuclear TROs, and show that Haagerup's decomposition property for completely bounded maps and Pisier's d-norm can be naturally generalized to TROs. # 2002 Elsevier Science (USA)

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Subdivision operators play an important role in wavelet analysis. This paper studies the algebraic properties of subdivision operators with matrix mask, especially their action on polynomial sequences and on some of their invariant subspaces. As an application, we characterize, under a mild conditio