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Polar decomposition under perturbations of the scalar product.

Corach, Gustavo; Maestripieri, Alejandra; Stojanoff, Demetrio — 2000

ELA. The Electronic Journal of Linear Algebra [electronic only]

A classification of projectors

Gustavo Corach; Alejandra Maestripieri; Demetrio Stojanoff — 2005

Banach Center Publications

A positive operator A and a closed subspace of a Hilbert space ℋ are called compatible if there exists a projector Q onto such that AQ = Q*A. Compatibility is shown to depend on the existence of certain decompositions of ℋ and the ranges of A and $A^{1 / 2}$ . It also depends on a certain angle between A() and the orthogonal of .

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