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Products of orthogonal projections and polar decompositions

✍ Scribed by G. Corach; A. Maestripieri


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
299 KB
Volume
434
Category
Article
ISSN
0024-3795

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✦ Synopsis


We characterize the sets X of all products PQ , and Y of all products PQP, where P, Q run over all orthogonal projections and we solve the problems arg min{ P -Q :

We also determine the polar decompositions and Moore-Penrose pseudoinverses of elements of X.


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