Open Access
2014 A Setting for Generalized Orthogonalization
Gustavo Corach, Alejandra Maestripieri
Ann. Funct. Anal. 5(1): 128-142 (2014). DOI: 10.15352/afa/1391614577


Let $H$ be a complex Hilbert space. We study the geometry of the space of pairs $(A, E)$, for $A$ a (semidefinite bounded linear) positive operator on $H$ and $E$ a (bounded linear) projection on $H$ such that $AE=E^*A.$


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Gustavo Corach. Alejandra Maestripieri. "A Setting for Generalized Orthogonalization." Ann. Funct. Anal. 5 (1) 128 - 142, 2014.


Published: 2014
First available in Project Euclid: 5 February 2014

zbMATH: 1285.46018
MathSciNet: MR3119120
Digital Object Identifier: 10.15352/afa/1391614577

Primary: 46C50
Secondary: 46C05 , 47A62

Keywords: $A$-selfadjoint projection , orthogonal projection , positive operator

Rights: Copyright © 2014 Tusi Mathematical Research Group

Vol.5 • No. 1 • 2014
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