Closedness of the Rang of the Product of Projections in Hilbert Modules


Authors

Kamran Sharifi - Department of Mathematics, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran


Abstract

Suppose P and Q are orthogonal projections between Hilbert C*-modules, then PQ has closed range if and only if Ker(P)+Ran(Q) is an orthogonal summand, Ker(Q)+ Ran(P) is an orthogonal summand.


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ISRP Style

Kamran Sharifi, Closedness of the Rang of the Product of Projections in Hilbert Modules, Journal of Mathematics and Computer Science, 2 (2011), no. 4, 588--593

AMA Style

Sharifi Kamran, Closedness of the Rang of the Product of Projections in Hilbert Modules. J Math Comput SCI-JM. (2011); 2(4):588--593

Chicago/Turabian Style

Sharifi, Kamran. "Closedness of the Rang of the Product of Projections in Hilbert Modules." Journal of Mathematics and Computer Science, 2, no. 4 (2011): 588--593


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