C *-algebras generated by orthogonal projections and their applications期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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*C -algebras generated by orthogonal projections and their applications**

Authors:	N L Vasilevski

Institution:	(1) Departamento de Matemáticas CINVESTAV del I.P.N., Apartado Postal 14-740, 07000 México, D.F., México

Abstract:	We study the following problem: Given a Hilbert spaceH and a set of orthogonal projectionsP, Q ₁, ..., Q_n on it, with the conditionsQ _j·Q _k=_j,k Q _k, $j,k = \overline {1,n,} \sum\nolimits_{k = 1}^n Q _k = I$ , describe theC ^-algebraC ^(P, Q ₁, ..., Q_n) generated by these projections.Applications to Naimark dilation theorems and to Toeplitz operators associated with the Heisenberg group are given.Dedicated to the memory of M. G. Krein.This work was partially supported by CONACYT Project 3114P-E9608, México.

Keywords:	46L35 47D25
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