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math.FA2005
Projections in operator ranges
Gustavo Corach, Alejandra Maestripieri, Demetrio Stojanoff
If $\H$ is a Hilbert space, is a positive bounded linear operator on $\cH$ and $\cS$ is a closed subspace of $\cH$, the relative position between $\cS$ and $A^{-1}(\cS \orto)$…
math.FA2005
Bilateral Shorted Operators and Parallel Sums
Jorge Antezana, Gustavo Corach, Demetrio Stojanoff
In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of complementabili…
math.FA2005
The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
J. Antezana, P. Massey, M. Ruiz +1
Let be a Hilbert space. Given a bounded positive definite operator on , and a bounded sequence of non negativ…