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math.FA2024
A note on common complements
Esteban Andruchow, Eduardo Chiumiento
We discuss the structure of the set consisting of pairs of closed subspaces that have a common complement in a Hilbert space previously studied by Lauzon and Treil (J. Funct.…
math.FA2024
Subspaces with or without a common complement
Esteban Andruchow, Eduardo Chiumiento
Let H be a separable complex Hilbert space. Denote by Gr(H) the Grassmann manifold of H. We study the following sets of pairs of elements in Gr(H): Delta={(S,T) in Gr(H) x Gr(H): t…